If A : B = 1/2 : 3/8 B : C = 1/4 : 7 : 9 and C : D = 5/7 : 5/4 then the ratio A : B : C : D is:

Correct Answer is : 12 : 9 : 28 : 49

Correct Answer is : 12 : 9 : 28 : 49

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Ratio and Proportion Practice Test 1

Question : 2 of 40

Marks: +1, -0

A : B = \frac{1}{2} : \frac{3}{8}

B : C = \frac{1}{4} : 7 : 9

C : D = \frac{5}{7} : \frac{5}{4}

then the ratio A : B : C : D is:

Solution: 👈: Video Solution

Concept:

Convert fractional ratios into simplest whole-number ratios, then make the common terms equal to combine them.

Explanation:

Simplify each given ratio.

A:B = \frac{1}{2} : \frac{3}{8} = \frac{1/2}{3/8} = \frac{4}{3} = 4:3

B:C = \frac{1}{4} : \frac{7}{9} = \frac{1/4}{7/9} = \frac{9}{28} = 9:28

C:D = \frac{5}{7} : \frac{5}{4} = \frac{5/7}{5/4} = \frac{4}{7} = 4:7

To combine

A:B

and

B:C

, make

B

equal to

9

A:B = 4:3 = 12:9

B:C = 9:28

So,

A:B:C = 12:9:28

To combine with

C:D

, make

C

equal to

28

C:D = 4:7 = 28:49

Thus,

A:B:C:D = 12:9:28:49

Answer:

12:9:28:49

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