From a 7 m long cloth, two pieces of $5\frac{1}{4}$ and $1\frac{1}{5}$ long are cut. What is the length of the remaining cloth?

Given: 

Total length of the cloth = 7 m

Two pieces of $5\frac{1}{4}$ and $1\frac{1}{5}$ long are cut.

To find: Here we have to find the length of the remaining cloth.

Solution:

Now,

$5\frac{1}{4}\ =\ \frac{21}{4}$ m

$1\frac{1}{5}\ =\ \frac{6}{5}$ m

Adding value of these two pieces:

$\frac{21}{4}\ +\ \frac{6}{5}$ m

$=\ \frac{21( 5) \ +\ 6( 4)}{20}$ m

$=\ \frac{105\ +\ 24}{20}$ m

$=\ \frac{129}{20}$ m

Now, finding the length of the remaining cloth: 

Length of remaining cloth = Total length of the cloth $-$ Sum of length of two pieces

Length of remaining cloth = $7\ -\ \frac{129}{20}$

Length of remaining cloth = $\frac{140\ -\ 129}{20}$

Length of remaining cloth = $\mathbf{\frac{11}{20}}$ m

So, length of the remaining cloth is $\frac{11}{20}$ m.

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Updated on: 10-Oct-2022

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