adding and subtracting fractions with different denominators
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To add or subtract fractions with different denominators, one must find the least common denominator and convert the fractions so they have the same denominator. The document demonstrates converting 1/2 to 2/4 to add it to 3/4, finding the common denominator of 4. It also shows converting 3/5 to 6/10 to subtract it from 7/10, with the common denominator being 10.
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adding and subtracting fractions with different denominators
- 1. Adding & Subtracting Fractions with Different Denominations By MRA
- 2. 3/4 + 1/2 These diagrams represent 3/4 + 1/2. The denominators on these fractions are different, so I have to find the common denominator. I find the least common denominator by listing all the multiples of 2 and 4 until I find a number that they both go into.
- 3. 3/4 + 2/4 The common denominator was 4. So I multiplied the denominator and the numerator of 1/2 by 2 and got 2/4. Now it is 3/4 + 2/4 which equals 5/4. I didn’t have to change 2/4 because the denominator was already 4.
- 4. 7/10 – 3/5 These diagrams represent 7/10 – 3/5. The denominator in these fractions are different, so I have to find the common denominator.
- 5. 7/10 – 6/10 The common denominator is 10. So I multiplied the denominator and numerator of 3/5 by 2 and got 6/10. I didn’t have to change the fraction 7/10 because the denominator was already 10. The answer is 1/10.