Question

5. If you 1/2 subtract from a number and multiply the result by1/3 you get 1/8what is the number?​

Answer 1

Let the number be $x$

First subtract $\frac{1}{2}$ from $x$

$=x-\frac{1}{2}$----------(1)

Now multiply the equation (1) with $\frac{1}{3}$

$=\frac{1}{3} (x-\frac{1}{2})$

The result will be $\frac{1}{8}$

$\frac{1}{3} (x-\frac{1}{2} )=\frac{1}{8} \\x-\frac{1}{2} =\frac{3}{8} \\x=\frac{3}{8} +\frac{1}{2} \\x=\frac{3}{8} +\frac{1}{2} \times\frac{4}{4} \\x=\frac{3}{8} +\frac{4}{8} \\x=\frac{7}{8}$

Therefore the number is $\frac{7}{8}$

Answer 2

Answer:

$\frac{7}{8}$

Step-by-step explanation:

Given data,

• If  $\frac{1}{2}$ is subtracted from a number and the result is multiplied  by $\frac{1}{3}$, we get $\frac{1}{8}$.
• Let the number be $x$.

According to the given data,

$\frac{1}{3} (x-\frac{1}{2}) =\frac{1}{8}$

$\Rightarrow x-\frac{1}{2} =\frac{3}{8}$

$\Rightarrow x =\frac{3}{8}+\frac{1}{2}$

$\Rightarrow x=\frac{3+4}{8}$

$\Rightarrow x=\frac{7}{8}$

Hence, the number is $\frac{7}{8}$.