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From a 9m long cloth, two pieces of $ 3 \frac{3}{4}m$ and $4 \frac{1}{2}m$ long are cut. What is the length of the remaining cloth?
Express the answer as a fraction in its simplest form.
Given: Total length of cloth = 9 m
lengths of cloths cut = $ 3\frac{3}{4}m$ and $4 \frac{1}{2}m$
To find: The length of the remaining cloth Subtract the cloth cut from the total length of the cloth.
Solution:
$ 3\frac{3}{4}m$ + $4 \frac{1}{2}m$
$ \frac{15}{4}m$ + $ \frac{9}{2}m$
LCM OF 4 and 2 is 4 $\left(\frac{15+9\times 2}{4}\right)$
$\frac{15+18}{4}$
$\frac{33}{4}$
Now to find the remaining cloth 9- $\frac{33}{4}$
$\left(\frac{9\times 4\ -33}{4}\right)$
$\frac{36-33}{4}$
$\frac{3}{4}$
Therefore, the length of the remaining cloth is $\frac{3}{4}$
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