Question

The total quantity of salt that is available in Steve’s restaurant every day is $9kg$. Out of the total, he requires $2kg$ of salt every day. Determine the equivalent fraction of $\frac{2}{9}$.

• A. $\frac{26}{128}$
• B. $\frac{28}{126}$
• C. $\frac{14}{63}$
• D. $\frac{28}{9}$

Answer 1

The correct option is B $\frac{28}{126}$

Quantity of salt required in a day $=2kg$
Quantity of salt available each day $=9kg$

Fraction representing the quantity of salt used in a day $=\frac{2}{9}$

Observe that $\frac{2}{9}$ cannot be converted into either of the options $A,C,$ or $D$ by multiplying its numerator and denominator by any number.

However, if we multiply the numerator and the denominator of $\frac{2}{9}$ by $14$, we get $\frac{28}{126}$.

Hence, the equivalent fraction of $\frac{2}{9}$ is $\frac{28}{126}$.