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Simplify the following:$14 \times 4\frac{5}{8} \times \frac{27}{35} \times 1\frac{3}{37}$
Given :
The given expression is $14 \times 4\frac{5}{8} \times \frac{27}{35} \times 1\frac{3}{37}$.
To do :
We have to simplify the given expression.
Solution :
$4\frac{5}{8}= \frac{(4\times8+5)}{8} = \frac{(32+5)}{8} = \frac{37}{8}$
$1\frac{3}{37} = \frac{(1\times37+3)}{37} = \frac{(37+3)}{37} = \frac{40}{37}$
$14 \times 4\frac{5}{8} \times \frac{27}{35} \times 1\frac{3}{37} = 14 \times \frac{37}{8} \times \frac{27}{35} \times \frac{40}{37}$
$ = 2 \times \frac{37}{8} \times \frac{27}{5} \times \frac{40}{37}$
$= 2 \times \frac{37}{1} \times \frac{27}{5} \times \frac{5}{37}$
$= 2 \times \frac{1}{1} \times \frac{27}{1} \times \frac{1}{1}$
$= 54$.
Therefore, the value of $14 \times 4\frac{5}{8} \times \frac{27}{35} \times 1\frac{3}{37}$ is $54$.