Question

3/4 x 3 2/5 - 5/5(find the value of each of the following) ​

Answer 1

The value of the given expression is $\frac{-13}{20}.$

Solution:

Given expression is $\frac{3}{4} \times3\frac{2}{5}-\frac{5}{5}$.

Let us first convert mixed fraction into improper fraction.

$3\frac{2}{5}=\frac{(3\times5)+2}{5}=\frac{17}{5}$

Substitute this in the given expression.

$\frac{3}{4} \times3\frac{2}{5}-\frac{5}{5}=\frac{3}{4} \times\frac{7}{15}-\frac{5}{5}$

                  $=\frac{21}{60}-\frac{5}{5}$

To simplify the above expression, 21 and 60 are cancelled by 3.

                 $=\frac{7}{20}-\frac{1}{1}$

Do cross multiplication to make the denominator same.

                 $=\frac{7}{20}-\frac{20}{20}$

                 $=\frac{7-20}{20}$

                 $=\frac{-13}{20}$

The value of the given expression is $\frac{-13}{20}.$