Question

When a fraction is divided by the difference of 1/2 and 1/6,we get 2/3.what is the fraction?

Answer 1

Let the fraction be x

Difference between 1/2,1/6=1/2-1/6
=6/12-2/12
=4/12
=1/3
When the fraction is divided by 1/3 results 2/3
x/(1/3)=2/3

x*3=2/3
3x =2/3
x=2/9

There fore, the fraction is 2/9

hope helped!!

Answer 2

Answer:

The required fraction is $\frac{2}{9}$

Step-by-step explanation:

Fraction:

A fraction is used to denote a portion or component of a whole. It stands for the proportionate pieces of the whole. The numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom. The denominator specifies the total number of equal parts in the whole, whereas the numerator specifies the number of equal parts that were taken.

Difference of $\frac{1}{2}$ and $\frac{1}{6}$$=\frac{3}{6} -\frac{1}{6}$

$=\frac{2}{6}$ (simplified by $\frac{1}{3}$)

Let the fraction be $x$

To find $x$, we have to transpose $\frac{1}{3}$ to RHS which then gives

$x=\frac{1}{3}$ × $\frac{2}{3}$

$x=\frac{2}{9}$

Therefore, the required fraction is $\frac{2}{9}$.

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