Mathematics

A water tank can hold $56\dfrac{1}{4}$ litres of water. How much water is contained in the tank when it is $\dfrac{8}{15}$ full?

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Given,

Total capacity of tank = $56\dfrac{1}{4}$ = $\dfrac{225}{4}$ litres

Fraction full = $\dfrac{8}{15}$

$\text{Water in the tank }= \dfrac{8}{15} \times \dfrac{225}{4}\\[1em] = \dfrac{8 \times 225}{15 \times 4}\\[1em] = \dfrac{1800}{60}\\[1em] = 30.$

Hence, water in the tank = 30 litres.

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