Question

3 (\frac{12}{18}) = ___ =
5 (\frac{20}{25}) = ___ =
7 (\frac{14}{21}) = ___ =
9 (\frac{20}{32}) = ___ =
11 (\frac{18}{36}) = ___

Explanation:

Problem 3: Simplify $\boldsymbol{\frac{12}{18}}$

Step1: Find GCD of 12 and 18

The greatest common divisor (GCD) of 12 and 18 is 6.

Step2: Divide numerator and denominator by GCD

Divide both 12 and 18 by 6: $\frac{12\div6}{18\div6} = \frac{2}{3}$

Step1: Find GCD of 20 and 25

The GCD of 20 and 25 is 5.

Step2: Divide numerator and denominator by GCD

Divide both 20 and 25 by 5: $\frac{20\div5}{25\div5} = \frac{4}{5}$

Step1: Find GCD of 14 and 21

The GCD of 14 and 21 is 7.

Step2: Divide numerator and denominator by GCD

Divide both 14 and 21 by 7: $\frac{14\div7}{21\div7} = \frac{2}{3}$

Answer:

$\frac{2}{3}$

Problem 5: Simplify $\boldsymbol{\frac{20}{25}}$