Question

A jar is filled with $\frac{5}{7}mL$ of water and $\frac{3}{14}mL$ of milk to make a magic drink. How much magic drink is in the jar?

• A.
• B. ​​​​​​​
• C.
• D.

Answer 1

The correct option is D

​​​​​A jar is filled with $\frac{5}{7}mL$ of water and $\frac{3}{14}mL$ of milk to make a magic drink.
The total amount of magic drink $=\frac{5}{7}mL+\frac{3}{14}mL$
To add unlike fractions, first convert them into like fractions by finding the equivalent fractions with the same denominator.
$\frac{5}{7}=\frac{5\times 2}{7\times 2}=\frac{10}{14}$
$\frac{10}{14}$ represents a total of 14 partitions, out of which 10 parts are shaded.
$\frac{3}{14}$ represents a total 14 partitions, out of which 3 parts are shaded.
$\frac{5}{7}+\frac{3}{14}=\frac{10}{14}+\frac{3}{14}=\frac{10+3}{14}=\frac{13}{14}$ which represents a total of 14 partitions, out of which 13 are shaded.