Simplify the expression:$\frac{45}{25} + 3 \frac{2}{5} + 6 \frac{3}{10}$.

Given:$\frac{45}{25} + 3 \frac{2}{5} + 6 \frac{3}{10}$

To find: We have to simplify the given expression.

Solution:

$\frac{45}{25} + 3 \frac{2}{5} + 6 \frac{3}{10}$

= $\frac{9}{5} + \frac{17}{5} + \frac{63}{10}$

= $\frac{9\times2}{5\times2}$ + $\frac{17\times2}{5\times2}$ +  $\frac{63}{10}$ 

= $\frac{18}{10}$ + $\frac{34}{10}$ + $\frac{63}{10}$

= $\frac{18 + 34 + 63}{10} = \frac{115}{10}$

= $11  \frac{5}{10}$ or $11\frac{1}{2}$ 

Therefore the simplified form is $11\frac{1}{2}$

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Updated on: 10-Oct-2022

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