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Mathematics

A water tank can hold 561456\dfrac{1}{4} litres of water. How much water is contained in the tank when it is 815\dfrac{8}{15} full?

Fractions

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Answer

Given,

Total capacity of tank = 561456\dfrac{1}{4} = 2254\dfrac{225}{4} litres

Fraction full = 815\dfrac{8}{15}

Water in the tank =815×2254=8×22515×4=180060=30.\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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