# Simplify the following:

$2\dfrac{2}{3} \times 2\dfrac{1}{2} \times 1\dfrac{2}{3} \times 6\dfrac{5}{7}$

Answer

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327.6k+ views

Hint: Take the mixed fraction and convert them to improper fraction and then multiply them, and then convert the improper fraction to decimal.

Complete step-by-step answer:

Start by taking the mixed fraction and convert them to improper fraction,

$ \Rightarrow \dfrac{8}{3} \times \dfrac{5}{2} \times \dfrac{5}{3} \times \dfrac{{47}}{7}$

On simplifying, we get,

$ \Rightarrow \dfrac{{9400}}{{126}}$

On dividing, we get,

Answer $ \Rightarrow 74.603$

Note: Make sure while converting the mixed fractions you get the correct mixed fraction, and if possible while multiplying try to cancel out and turn it into the simplest form so that it is easier to convert the fraction to decimal.

Complete step-by-step answer:

Start by taking the mixed fraction and convert them to improper fraction,

$ \Rightarrow \dfrac{8}{3} \times \dfrac{5}{2} \times \dfrac{5}{3} \times \dfrac{{47}}{7}$

On simplifying, we get,

$ \Rightarrow \dfrac{{9400}}{{126}}$

On dividing, we get,

Answer $ \Rightarrow 74.603$

Note: Make sure while converting the mixed fractions you get the correct mixed fraction, and if possible while multiplying try to cancel out and turn it into the simplest form so that it is easier to convert the fraction to decimal.

Last updated date: 02nd Jun 2023

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