Question

select all ratios equivalent to 28:14. 7:2 112:56 16:8

Explanation:

Step1: Simplify the given ratio

First, simplify the ratio \(28:14\) by dividing both terms by their greatest common divisor (GCD). The GCD of 28 and 14 is 14. So, \(\frac{28}{14}:\frac{14}{14} = 2:1\).

Step2: Simplify the first option (7:2)

Simplify \(7:2\). The GCD of 7 and 2 is 1, so it remains \(7:2\), which is not equal to \(2:1\).

Step3: Simplify the second option (112:56)

Simplify \(112:56\) by dividing both terms by their GCD, which is 56. So, \(\frac{112}{56}:\frac{56}{56} = 2:1\), which is equal to the simplified form of \(28:14\).

Step4: Simplify the third option (16:8)

Simplify \(16:8\) by dividing both terms by their GCD, which is 8. So, \(\frac{16}{8}:\frac{8}{8} = 2:1\), which is equal to the simplified form of \(28:14\).

Answer:

112:56, 16:8