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

A. [tex] \frac{3}{16} [/tex]

B. [tex] \frac{4}{9} [/tex]

C. [tex] \frac{5}{4} [/tex]

D. [tex] \frac{3}{2} [/tex]

E. [tex] \frac{9}{4} [/tex]
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Respuesta :

mhanifa

Answer:

  • 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.

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