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Mathematics

Find the product :

714×2316×2277\dfrac{1}{4}\times2\dfrac{3}{16}\times2\dfrac{2}{7}

Fractions

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Answer

We have:

=714×2316×227=294×3516×167[Converting mixed fraction to improper fraction]=294×351×17[Simplifying 16 and 16 ⇒ Divide by 16 ]=294×51×11[Simplifying 35 and 7 ⇒ Divide by 7 ]=29×5×14×1×1=1454=3614[Converting improper to mixed fraction]\begin{array}{ll} \phantom{=} 7\dfrac{1}{4}\times2\dfrac{3}{16}\times2\dfrac{2}{7} \\ = \dfrac{29}{4} \times \dfrac{35}{16} \times \dfrac{16}{7} & \text{[Converting mixed fraction to improper fraction]} \\ = \dfrac{29}{4} \times \dfrac{35}{1} \times \dfrac{1}{7} & \text{[Simplifying 16 and 16 ⇒ Divide by 16 ]} \\ = \dfrac{29}{4} \times \dfrac{5}{1} \times \dfrac{1}{1} & \text{[Simplifying 35 and 7 ⇒ Divide by 7 ]} \\ = \dfrac{29 \times 5 \times 1}{4 \times 1 \times 1} \\ = \dfrac{145}{4} \\ = 36\dfrac{1}{4} & \text{[Converting improper to mixed fraction]} \end{array}

∴ The answer is 361436\dfrac{1}{4}

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