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Popular Word Problems >

If 1/2 is 8/11 of 1/4 of a certain number, then that number is

Solution

I f \frac{1}{2} i s \frac{8}{11} o f \frac{1}{4} o f a cer t ain n u mb er, t h e n t ha t n u mb er i s

Solution

The number : 2 \frac{3}{4}

Solution steps

Represent the number with

x

A.T.Q.:

\frac{1}{2} = \frac{8}{11} \cdot \frac{1}{4} x

Solve for

x, \frac{1}{2} = \frac{8}{11} \cdot \frac{1}{4} x : x = \frac{11}{4}

Convert improper fractions to mixed numbers:

\frac{11}{4} = 2 \frac{3}{4}

The number : 2 \frac{3}{4}

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