Question

A bottle contains $\frac{1}{6}$ parts of water and $\frac{2}{3}$ parts of juice. So it contain parts of liquid altogether.

• A. $\frac{5}{6}$
• B. $\frac{4}{6}$
• C. $\frac{1}{3}$
• D. $\frac{6}{6}$

Answer 1

The correct option is A $\frac{5}{6}$

The bottle contains $\frac{1}{6}$ parts of water and $\frac{2}{3}$ parts of juice.
Total liquid = Parts of water + Parts of juice
Here, among the denominators of fractions 3 and 6, 3 is a factor of 6.
$\therefore \frac{2}{3}=\frac{2\times 2}{3\times 2}$
$\therefore \text{Total liquid}=\frac{1}{6}$ + $\frac{2}{3}$
$=\frac{1}{6}$ + $\frac{2\times 2}{3\times 2}$
$=\frac{1}{6}$ + $\frac{4}{6}$
$=\frac{5}{6}$
Through visualization, we can obtain the following: