Question

A water bottle has $5\frac{1}{3}$ liters of water. If Andrew consumes $\frac{1}{4}$ part of water twice, then find the quantity of water consumed by Andrew?

• A. $\frac{3}{64}$ liters
• B. $\frac{3}{4}$ liters
• C. $\frac{8}{3}$ liters
• D. $\frac{4}{3}$ liters

Answer 1

The correct option is C $\frac{8}{3}$ liters

A water bottle has $5\frac{1}{3}$ liters of water.

Quantity of water consumed by Andrew for twice $=2\times \frac{1}{4}$ part of water

$=2\times \frac{1}{4}\text{of}5\frac{1}{3}$

$=2\times \frac{1}{4}\times 5\frac{1}{3}$

$=2\times \frac{1}{4}\times \frac{5\times 3+1}{3}$

$=\frac{2}{1}\times \frac{1}{4}\times \frac{16}{3}$

We have to multiply the top numbers and the bottom numbers as follows and then simplify it.

$=\frac{2\times 1\times 16}{1\times 4\times 3}$

Now, simplify the fraction

$=\frac{2\times 4\times 4}{4\times 3}$

The common factors of the numerator and the denominator gets canceled, we get

$=\frac{8}{3}$ liters