Q:

Which ratios form a proportion?3/15, 12/558/24, 12/355/18, 25/904/11, 16/25What ratio forms a proportion with 9/15?6/1016/2136/5045/70

Accepted Solution

A:
Answer: 1. C)  5/18, 25/902.  A) 6/10
Step-by-step explanation: 1) We need to find the ratios those makes a proportion:Let us check given options one by one.3/15, 12/55  Converting them into simplest fractions.3÷3/15÷3 = 1/5 12/55 can't be reduce more.1/5 ≠ 12/55So, 3/15, 12/55  don't form a proportion.
8/24, 12/35Converting them into simplest fractions.8÷8/24÷8 = 1/3 12/35 can't be reduce more.8/24 ≠ 12/35So, 8/24, 12/35 don't form a proportion.
5/18, 25/90Converting them into simplest fractions.25÷5/90÷5 = 5/18 5/18 can't be reduce more.5/18 = 5/18.So, 8/24, 12/35 don't form a proportion.So, 5/18, 25/90 form a proportion.
4/11, 16/25Converting them into simplest fractions.4/11 and 16/25 both can't be reduce more.4/11≠16/25So, 4/11, 16/25 don't form a proportion.___________________________________________________
Let us reduce 9/15 into simplest fraction.9÷3/15÷3 = 3/5Now, let us convert each and every option in simplest fractions.6÷2/10÷2 = 3/516÷1/21÷1 = 16/2136÷2/50÷2 = 18/2545÷5/70÷5 = 9/14We can see 6/10 gives lowest fraction 3/5 as 9/15 gives.Therefore, 6/10 form a proportion with 9/15.