Question

exercise 8 (answers on page 39) 1. \\(\frac{65}{10}=\\) 2. \\(\frac{40}{6}=\\) 3. \\(\frac{22}{4}=\\) 4. \\(\frac{22}{8}=\\) 5. \\(\frac{30}{9}=\\)

Explanation:

Problem 1: Simplify $\boldsymbol{\frac{65}{10}}$

Step1: Find GCD of 65 and 10

GCD of 65 and 10 is 5.

Step2: Divide numerator and denominator by 5

$\frac{65\div5}{10\div5} = \frac{13}{2}$ or as a decimal $6.5$ (if decimal is preferred).

Step1: Find GCD of 40 and 6

GCD of 40 and 6 is 2.

Step2: Divide numerator and denominator by 2

$\frac{40\div2}{6\div2} = \frac{20}{3}$ or as a mixed number $6\frac{2}{3}$ (or decimal $\approx 6.67$).

Step1: Find GCD of 22 and 4

GCD of 22 and 4 is 2.

Step2: Divide numerator and denominator by 2

$\frac{22\div2}{4\div2} = \frac{11}{2}$ or as a mixed number $5\frac{1}{2}$ (or decimal $5.5$).

Answer:

$\frac{13}{2}$ (or $6.5$)

Problem 2: Simplify $\boldsymbol{\frac{40}{6}}$