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Mathematics

Find the value of :

45\dfrac{4}{5} of 1 hour

Fractions

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Answer

We have:

45\dfrac{4}{5} of 1 hour

1 hour=60 minutes[Converting hour into minutes]=(60×45) minutes=(601×45) minutes=(121×41) minutes[Simplifying 60 and 5 ⇒ Divide by 5 ]=481 minutes=48 minutes\begin{array}{ll} 1 \text{ hour} = 60 \text{ minutes} & \text{[Converting hour into minutes]} \\ = \Big(60 \times \dfrac{4}{5}\Big) \text{ minutes} \\ = \Big(\dfrac{60}{1} \times \dfrac{4}{5}\Big) \text{ minutes} \\ = \Big(\dfrac{12}{1} \times \dfrac{4}{1}\Big) \text{ minutes} & \text{[Simplifying 60 and 5 ⇒ Divide by 5 ]} \\ = \dfrac{48}{1} \text{ minutes} \\ = 48 \text{ minutes} \end{array}

∴ The answer is 48 minutes

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