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# Sarita bought $ \frac{2}{5} $ metre of ribbon and Lalita $ \frac{3}{4} $ metre of ribbon. What is the total length of the ribbon they bought?

Given:

Sarita bought \( \frac{2}{5} \) metre of ribbon and Lalita \( \frac{3}{4} \) metre of ribbon.

To do :

We have to find the total length of the ribbon they bought

Solution :

Length of the ribbon bought by Sarita $= \frac{2}{5}\ m$

Length of the ribbon bought by Lalita $= \frac{3}{4}\ m$

Therefore,

Total length of the ribbon bought by both of them $=\frac{2}{5} + \frac{3}{4}$

LCM of denominators 5 and 4 is 20.

This implies,

$\frac{2}{5} + \frac{3}{4}= \frac{2\times4+3\times5}{20}$

$=\frac{8+15}{20}$

$=\frac{23}{20}\ m$

Total length of the ribbon bought by both Sarita and Lalita is $\frac{23}{20}$ metres.

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