# If 3/8 of a number is 27 what is the number?

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Feb 7, 2018

$72$

#### Explanation:

Let the number be $x$

$\frac{3}{8} \times x = 27$

$\therefore \frac{3}{8} x = 27$

$\therefore x = \frac{27}{\frac{3}{8}}$

$\therefore x = {\cancel{27}}^{9} / 1 \times \frac{8}{\cancel{3}} ^ 1$

$\therefore x = 9 \times 8 = 72$

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The number is $72$

#### Explanation:

If $\frac{3}{8}$ of the number is $27$, it means that $27$ represents $3$ parts.

Divide $27$ by $3$ to find $1$ part.

$1$ part = $27 \div 3 = 9$

If $\frac{1}{8}$ of a number is $9$, then $\frac{8}{8}$ is the whole number which is $9 \times 8 = 72$.

Using direct proportion.

$\frac{3}{8} = \frac{27}{x} \text{ "(larr3 " parts")/(larr"full number}$

$x = \frac{27 \times 8}{3}$

$x = 72$

Then teach the underlying concepts
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#### Explanation

Explain in detail...

#### Explanation:

I want someone to double check my answer

1
Feb 7, 2018

If $\frac{3}{8}$ of a number is 27, then the number would be 72.

#### Explanation:

Divide 27 by 3 (numerator), and then multiply the dividend by 8 (denominator).

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