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Mathematics

Find the product :

119×91×51113\dfrac{1}{19}\times91\times5\dfrac{11}{13}

Fractions

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Answer

We have:

=119×91×51113=119×911×7613[Converting mixed fraction to improper fraction]=119×71×761[Simplifying 91 and 13 ⇒ Divide by 13 ]=11×71×41[Simplifying 76 and 19 ⇒ Divide by 19 ]=1×7×41×1×1=281=28\begin{array}{ll} \phantom{=} \dfrac{1}{19}\times91\times5\dfrac{11}{13} \\ = \dfrac{1}{19} \times \dfrac{91}{1} \times \dfrac{76}{13} & \text{[Converting mixed fraction to improper fraction]} \\ = \dfrac{1}{19} \times \dfrac{7}{1} \times \dfrac{76}{1} & \text{[Simplifying 91 and 13 ⇒ Divide by 13 ]} \\ = \dfrac{1}{1} \times \dfrac{7}{1} \times \dfrac{4}{1} & \text{[Simplifying 76 and 19 ⇒ Divide by 19 ]} \\ = \dfrac{1 \times 7 \times 4}{1 \times 1 \times 1} \\ = \dfrac{28}{1} \\ = 28 \end{array}

∴ The answer is 28

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