Question

directions: write the ratio in simplest form.

1. 28 elementary schools to 16 middle schools
2. 30 treadmills to 36 elliptical machines
3. 18 buses to 66 cars
4. 180 red marbles to 145 blue marbles

Explanation:

Step1: Simplify ratio 1

Find GCD of 28 and 16, which is 4. Divide both by 4:
$\frac{28 \div 4}{16 \div 4} = \frac{7}{4}$

Step2: Simplify ratio 2

Find GCD of 30 and 36, which is 6. Divide both by 6:
$\frac{30 \div 6}{36 \div 6} = \frac{5}{6}$

Step3: Simplify ratio 3

Find GCD of 18 and 66, which is 6. Divide both by 6:
$\frac{18 \div 6}{66 \div 6} = \frac{3}{11}$

Step4: Simplify ratio 4

Find GCD of 180 and 145, which is 5. Divide both by 5:
$\frac{180 \div 5}{145 \div 5} = \frac{36}{29}$

Answer:

1. $\frac{7}{4}$
2. $\frac{5}{6}$
3. $\frac{3}{11}$
4. $\frac{36}{29}$