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Arithmetic Operations on Fractions

Rushal Thaker, profile picture
Rushal Thaker

El documento describe la adición y sustracción de fracciones, diferenciando entre fracciones semejantes (con el mismo denominador) y fracciones no semejantes (con denominadores diferentes). Se presentan ejemplos que demuestran cómo sumar fracciones de diferentes tipos y cómo se representan visualmente las fracciones. También se abordamos la nomenclatura y la interpretación de fracciones resultantes en problemas de suma.

Education
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Addition / Subtraction of Fractions
Fractions Like Fractions denominator is same size of parts is same 1 / 4 , 3 / 4 , 7 / 4 Unlike Fractions denominator is diff size of parts is diff 1 / 5 , 3 / 2 , 7 / 10
Adding Like Fractions denominator is same size of parts is same 1 / 4 , 3 / 4 , 7 / 4
1 1 / 3 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 2 1 / 3 1 / 4 1 / 5 1 / 6 2 halves make 1
1 1 / 3 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 2 1 / 3 1 / 4 1 / 5 1 / 6 2 halves make 1
1 1 / 3 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 2 1 / 3 1 / 4 1 / 5 1 / 6 2 halves make 1
1 1 / 3 1 / 3 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 3 1 / 4 1 / 5 1 / 6 2 halves make 1 1/2  +  1/2  =  1 1 / 21 / 2
1 1 / 3 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 2 1 / 3 1 / 4 1 / 5 1 / 6 3 one­thirds make 1
1 1 / 3 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 2 1 / 3 1 / 4 1 / 5 1 / 6 3 one­thirds make 1
1 1 / 3 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 2 1 / 3 1 / 4 1 / 5 1 / 6 3 one­thirds make 1
1 1 / 3 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 2 1 / 3 1 / 4 1 / 5 1 / 6 3 one­thirds make 1
1 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 2 1 / 4 1 / 5 1 / 6 3 one­thirds make 1 1/3  +  1/3  +  1/3  =  1 1 / 3 1 / 31 / 3
Adding Unlike Fractions denominator is different size of parts is NOT same 1 / 5 , 3 / 2 , 7 / 40
1 1 / 3 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 2 1 / 3 1 / 4 1 / 5 1 / 6 1/2  +  1/3
1 1 / 3 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 2 1 / 3 1 / 4 1 / 5 1 / 6 1/2  +  1/3
1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 2 1 / 3 1 / 4 1 / 5 1 / 6 1/2  +  1/3 1 / 3 1 / 3
1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 2 1 / 3 1 / 4 1 / 5 1 / 6 1/2  +  1/3 1 / 3 1 / 3 THE PROBLEM IS
1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 2 1 / 3 1 / 4 1 / 5 1 / 6 1/2  +  1/3 1 / 3 1 / 3 THE PROBLEM IS How do we name this fraction?
1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 2 1 / 3 1 / 4 1 / 5 1 / 6 1/2  +  1/3 1 / 3 1 / 3 THE PROBLEM IS How do we name this fraction? How many equal parts of whole have we made?
1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 2 1 / 3 1 / 4 1 / 5 1 / 6 1/2  +  1/3 1 / 3 1 / 3 THE PROBLEM IS How do we name this fraction? How many equal parts of whole have we made? How many equal parts are there in the addition of these 2 fractions?
1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 2 1 / 3 1 / 4 1 / 5 1 / 6 1/2  +  1/3 1 / 3 1 / 3
1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 2 1 / 3 1 / 4 1 / 5 1 / 6 1/2  +  1/3 1 / 3 1 / 3
1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 2 1 / 3 1 / 4 1 / 5 1 / 6 1/2  +  1/3 1 / 3 1 / 3 5/6
1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 3 1 / 4 1 / 5 1 / 6 1/3  +  1/4 1 / 3 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1 / 2
1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 3 1 / 4 1 / 5 1 / 6 1/3  +  1/4 1 / 3 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1 / 2
1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 3 1 / 4 1 / 5 1 / 6 1/3  +  1/4 1 / 3 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1 / 2 1 / 3
1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 3 1 / 4 1 / 5 1 / 6 1/3  +  1/4 1 / 3 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1 / 2 1 / 3
1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 3 1 / 4 1 / 5 1 / 6 1/3  +  1/4 1 / 3 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1 / 2 1 / 3
1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 3 1 / 4 1 / 5 1 / 6 1/3  +  1/4 1 / 3 7/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1/12 1 / 2 1 / 3
1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 3 1 / 4 1 / 5 1 / 6 1/2  +  1/5 1 / 3 1 / 2
1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 3 1 / 4 1 / 5 1 / 6 1/2  +  1/5 1 / 3 1 / 2
1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 3 1 / 4 1 / 5 1 / 6 1/2  +  1/5 1 / 3 1 / 2 1 / 5
1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 3 1 / 4 1 / 5 1 / 6 1/2  +  1/5 1 / 3 1 / 2 1 / 5 1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10
1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 3 1 / 4 1 / 5 1 / 6 1/2  +  1/5 1 / 3 1 / 2 1 / 5 1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10
1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 3 1 / 4 1 / 5 1 / 6 1/2  +  1/5 1 / 3 1 / 2 1 / 5 1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10 1/10 7/10
1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 3 1 / 4 1 / 5 1 / 6 1/2  +  2/3 1 / 3 1 / 2
1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 3 1 / 4 1 / 5 1 / 6 1/2  +  2/3 1 / 3 1 / 2
1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 3 1 / 4 1 / 5 1 / 6 1/2  +  2/3 1 / 3 1 / 2 1 / 31 / 3
1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 3 1 / 4 1 / 5 1 / 6 1/2  +  2/3 1 / 3 1 / 2 1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 3 1 / 4 1 / 5 1 / 6 1 / 3 1 / 2
1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 3 1 / 4 1 / 5 1 / 6 1/2  +  2/3 1 / 3 1 / 2 1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 3 1 / 4 1 / 5 1 / 6 1 / 3 1 / 2
1 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 3 1 / 4 1 / 5 1 / 6 1/2  +  2/3 1 / 3 1 / 2 1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 4 1 / 5 1 / 6 1 / 3 1 / 21 / 3 1 / 31 / 3 1 / 3
1 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 3 1 / 4 1 / 5 1 / 6 1/2  +  2/3 1 / 3 1 / 2 1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 4 1 / 5 1 / 6 1 / 3 1 / 21 / 3 1 / 31 / 3 1 / 3
1 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 3 1 / 4 1 / 5 1 / 6 1/2  +  2/3 1 / 3 1 / 2 1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 4 1 / 5 1 / 6 1 / 3 1 / 21 / 3 1 / 31 / 3 1 / 3
1 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 3 1 / 4 1 / 5 1 / 6 1/2  +  2/3 1 / 3 1 / 2 1 1 / 3 1 / 2 1 / 4 1 / 4 1 / 4 1 / 5 1 / 5 1 / 5 1 / 5 1 / 6 1 / 6 1 / 6 1 / 6 1 / 6 1 / 4 1 / 5 1 / 6 1 / 3 1 / 21 / 3 1 / 31 / 3 1 / 3 7/6
1/2  +  1/3  = 1/3  +  1/4  = 1/2  +  1/5  = 1/2  +  2/3  = 2/3  +  4/5  =
1/2  +  1/3  = 1/3  +  1/4  = 1/2  +  1/5  = 1/2  +  2/3  = 2/3  +  4/5  = 5/6 7/12 7/10 7/6 22/15
Addition of Unlike Fractions How to Calculate?
+ 1 2 1 3
+ we have to make the denominators equal 1 2 1 3
+ we have to make the denominators equal THINK what could the new  denominator be? 1 2 1 3
+ we have to make the denominators equal THINK what could the new  denominator be? ? 1 2 1 3
+ we have to make the denominators equal THINK what could the new  denominator be? ? table of 3 3 6 9 12 . . . 1 2 1 3
+ we have to make the denominators equal THINK what could the new  denominator be? ? table of 3table of 2 3 6 9 12 . . . 2 4 6 8 . . . 1 2 1 3
+ we have to make the denominators equal THINK what could the new  denominator be? ? table of 3table of 2 3 6 9 12 . . . 2 4 6 8 . . . 1 2 1 3
+ we have to make the denominators equal THINK what could the new  denominator be? ? table of 3table of 2 3 6 9 12 . . . 2 4 6 8 . . . 1 2 1 3
+ we have to make the denominators equal THINK what could the new  denominator be? 6 table of 3table of 2 3 6 9 12 . . . 2 4 6 8 . . . 1 2 1 3 new denominator
+ we have to make the denominators equal THINK what could the new  denominator be? 6 table of 3table of 2 3 6 9 12 . . . 2 4 6 8 . . . 1 2 1 3 =
+ we have to make the denominators equal THINK what could the new  denominator be? 6 table of 3table of 2 3 6 9 12 . . . 2 4 6 8 . . . 1 2 1 3 ? 6 =
+ we have to make the denominators equal THINK what could the new  denominator be? 6 table of 3table of 2 3 6 9 12 . . . 2 4 6 8 . . . 1 2 1 3 + ? 6 =
+ we have to make the denominators equal THINK what could the new  denominator be? 6 table of 3table of 2 3 6 9 12 . . . 2 4 6 8 . . . 1 2 1 3 + ? 6 ? 6 =
+ we have to make the denominators equal THINK what could the new  denominator be? 6 table of 3table of 2 3 6 9 12 . . . 2 4 6 8 . . . 1 2 1 3 + ? 6 ? 6 = + 6 6 =
+ we have to make the denominators equal THINK what could the new  denominator be? 6 table of 3table of 2 3 6 9 12 . . . 2 4 6 8 . . . 1 2 1 3 + ? 6 ? 6 = + 6 6 = x 3
+ we have to make the denominators equal THINK what could the new  denominator be? 6 table of 3table of 2 3 6 9 12 . . . 2 4 6 8 . . . 1 2 1 3 + ? 6 ? 6 = + 6 6 = x 3 x 3
+ we have to make the denominators equal THINK what could the new  denominator be? 6 table of 3table of 2 3 6 9 12 . . . 2 4 6 8 . . . 1 2 1 3 + ? 6 ? 6 = + 3 6 6 = x 3 x 3
+ we have to make the denominators equal THINK what could the new  denominator be? 6 table of 3table of 2 3 6 9 12 . . . 2 4 6 8 . . . 1 2 1 3 + ? 6 ? 6 = + 3 6 6 = x 3 x 3 x 2
+ we have to make the denominators equal THINK what could the new  denominator be? 6 table of 3table of 2 3 6 9 12 . . . 2 4 6 8 . . . 1 2 1 3 + ? 6 ? 6 = + 3 6 6 = x 3 x 3 x 2 x 2
+ we have to make the denominators equal THINK what could the new  denominator be? 6 table of 3table of 2 3 6 9 12 . . . 2 4 6 8 . . . 1 2 1 3 + ? 6 ? 6 = + 3 6 2 6 = x 3 x 3 x 2 x 2
+ we have to make the denominators equal THINK what could the new  denominator be? 6 table of 3table of 2 3 6 9 12 . . . 2 4 6 8 . . . 1 2 1 3 + ? 6 ? 6 = + 3 6 2 6 = x 3 x 3 x 2 x 2 6 =
+ we have to make the denominators equal THINK what could the new  denominator be? 6 table of 3table of 2 3 6 9 12 . . . 2 4 6 8 . . . 1 2 1 3 + ? 6 ? 6 = + 3 6 2 6 = x 3 x 3 x 2 x 2 5 6 =
+ we have to make the denominators equal THINK what could the new  denominator be? 6 table of 3table of 2 3 6 9 12 . . . 2 4 6 8 . . . 1 2 1 3 + ? 6 ? 6 = + 3 6 2 6 = x 3 x 3 x 2 x 2 5 6 =
Subtraction of Unlike Fractions How to Calculate?
3 4 7 12 –
we have to make the denominators equal 3 4 7 12 –
we have to make the denominators equal THINK what could the new  denominator be? 3 4 7 12 –
we have to make the denominators equal THINK what could the new  denominator be? ? 3 4 7 12 –
we have to make the denominators equal THINK what could the new  denominator be? ? table of 12 12 24 36 48 . . . 3 4 7 12 –
we have to make the denominators equal THINK what could the new  denominator be? ? table of 12table of 4 12 24 36 48 . . . 4 8 12 16 . . . 3 4 7 12 –
we have to make the denominators equal THINK what could the new  denominator be? ? table of 12table of 4 12 24 36 48 . . . 4 8 12 16 . . . 3 4 7 12 –
we have to make the denominators equal THINK what could the new  denominator be? ? table of 12table of 4 12 24 36 48 . . . 4 8 12 16 . . . 3 4 7 12 –
we have to make the denominators equal THINK what could the new  denominator be? 12 table of 12table of 4 12 24 36 48 . . . 4 8 12 16 . . . 3 4 7 12 – new denominator
we have to make the denominators equal THINK what could the new  denominator be? 12 table of 12table of 4 12 24 36 48 . . . 4 8 12 16 . . . 3 4 7 12 = –
we have to make the denominators equal THINK what could the new  denominator be? 12 table of 12table of 4 12 24 36 48 . . . 4 8 12 16 . . . 3 4 7 12 ? 12 = –
we have to make the denominators equal THINK what could the new  denominator be? 12 table of 12table of 4 12 24 36 48 . . . 4 8 12 16 . . . 3 4 7 12 – ? 12 = –
we have to make the denominators equal THINK what could the new  denominator be? 12 table of 12table of 4 12 24 36 48 . . . 4 8 12 16 . . . 3 4 7 12 – ? 12 = – ? 12
we have to make the denominators equal THINK what could the new  denominator be? 12 table of 12table of 4 12 24 36 48 . . . 4 8 12 16 . . . 3 4 7 12 – ? 12 = 12 12 = – ? 12 –
we have to make the denominators equal THINK what could the new  denominator be? 12 table of 12table of 4 12 24 36 48 . . . 4 8 12 16 . . . 3 4 7 12 – ? 12 = 12 12 = x 3 – ? 12 –
we have to make the denominators equal THINK what could the new  denominator be? 12 table of 12table of 4 12 24 36 48 . . . 4 8 12 16 . . . 3 4 7 12 – ? 12 = 12 12 = x 3 x 3 – ? 12 –
we have to make the denominators equal THINK what could the new  denominator be? 12 table of 12table of 4 12 24 36 48 . . . 4 8 12 16 . . . 3 4 7 12 – ? 12 = 9 12 12 = x 3 x 3 – ? 12 –
we have to make the denominators equal THINK what could the new  denominator be? 12 table of 12table of 4 12 24 36 48 . . . 4 8 12 16 . . . 3 4 7 12 – ? 12 = 9 12 12 = x 3 x 3 x 1 – ? 12 –
we have to make the denominators equal THINK what could the new  denominator be? 12 table of 12table of 4 12 24 36 48 . . . 4 8 12 16 . . . 3 4 7 12 – ? 12 = 9 12 12 = x 3 x 3 x 1 x 1 – ? 12 –
we have to make the denominators equal THINK what could the new  denominator be? 12 table of 12table of 4 12 24 36 48 . . . 4 8 12 16 . . . 3 4 7 12 – ? 12 = 9 12 7 12 = x 3 x 3 x 1 x 1 – ? 12 –
we have to make the denominators equal THINK what could the new  denominator be? 12 table of 12table of 4 12 24 36 48 . . . 4 8 12 16 . . . 3 4 7 12 – ? 12 = 9 12 7 12 = x 3 x 3 x 1 x 1 12 = – ? 12 –
we have to make the denominators equal THINK what could the new  denominator be? 12 table of 12table of 4 12 24 36 48 . . . 4 8 12 16 . . . 3 4 7 12 – ? 12 = 9 12 7 12 = x 3 x 3 x 1 x 1 2 12 = – ? 12 –
we have to make the denominators equal THINK what could the new  denominator be? 12 table of 12table of 4 12 24 36 48 . . . 4 8 12 16 . . . 3 4 7 12 – ? 12 = 9 12 7 12 = x 3 x 3 x 1 x 1 2 12 = – ? 12 – 1 6 =
we have to make the denominators equal THINK what could the new  denominator be? 12 table of 12table of 4 12 24 36 48 . . . 4 8 12 16 . . . 3 4 7 12 – ? 12 = 9 12 7 12 = x 3 x 3 x 1 x 1 2 12 = – ? 12 – 1 6 =

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Arithmetic Operations on Fractions