Adding And Subtracting Fraction Notes For Web
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To add or subtract fractions with like denominators, add or subtract the numerators and keep the same denominators, simplifying the resulting fraction if needed. There are two types of fractions: proper fractions where the numerator is smaller than the denominator, and improper fractions where the numerator is greater than or equal to the denominator. For improper fractions, the answer must be simplified by dividing.
Adding And Subtracting Fraction Notes For Web
- 1. Adding and Subtracting Fractions With a Twist To Add or Subtract Fractions With Like Denominators: 1) Add the numerators. 2) Keep the same denominators. 3) Simplify, if needed. Answer will be a proper fraction or an improper fraction. Two Types of Fractions: 1) Proper Fractions – the numerator is smaller than the denominator. 2/3 4/5 14/100 3/11 Ex: 1/3 + 1/3 = 2/3 (Simplest Form) 7/9 – 4/9 = 5/9 (Simplest Form) Some answers must be simplified: 3/10 + 1/10 = 4/10 ÷ 2/2 = 2/5 (Simplify) 7/9 – 4/9 = 3/9 ÷ 3/3 = 1/3 (Simplify) 3/45 + 27/45 = 30/45 ÷ 5/5 = 6/9 ÷ 3/3 = 2/3 (Simplify) (Simplify Again) 2) Improper Fractions – the numerator is greater than or equal to the denominator. 10/9 8/3 150/25 6/6 210/210 If answer is an improper fraction, you must DIVIDE to simplify. Ex: 11/9 – 1/9 = 10/9 = 1 1/10 Divide 14/3 – 6/3 = 8/3 = 2 2/3 Divide Ex. 8/20 + 16/20 = 24/20 ÷ 2/2 = 12/20 ÷ 2/2 = 6/5 = 1 1/5 Simplify 1st. Divide 2nd.
- 2. Draw a number line and put five tick marks on each side. Label 5th tick marks 1 and -1. Put a point on 2/5. 2/5 – 4/5. Draw a number line and put five tick marks on each side. Label the 4th tick marks 1 and -1. Put a point on 5/4. 5/4 – 8/4.