9. If one-sixth is one-half of three-fourths of a certain number, what is that number? A. (3)/(16) B. (4)/(9) C. (5)/(4) D. (3)/(2) E. (9)/(4) ​

Question

9. If one-sixth is one-half of three-fourths of a certain number, what is that number?

A.
`(3)/(16)`

B.
`(4)/(9)`

C.
`(5)/(4)`

D.
`(3)/(2)`

E.
`(9)/(4)`
​

Answer 1

• B) 4/9

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Convert the statement into equation, considering the number as x, and solve:

• 1/6 = 1/2×3/4×x Equation
• 1/6 = 3/8×x Simplify the RHS
• x = 1/6 ÷ 3/8 Divide both sides by 3/8
• x = 1/6 × 8/3 Change division to multiplication
• x = 4/9 Answer

Correct choice is B.