The value of the given expression is [tex]\frac{-13}{20}.[/tex]
Solution:
Given expression is [tex]\frac{3}{4} \times3\frac{2}{5}-\frac{5}{5}[/tex].
Let us first convert mixed fraction into improper fraction.
[tex]3\frac{2}{5}=\frac{(3\times5)+2}{5}=\frac{17}{5}[/tex]
Substitute this in the given expression.
[tex]\frac{3}{4} \times3\frac{2}{5}-\frac{5}{5}=\frac{3}{4} \times\frac{7}{15}-\frac{5}{5}[/tex]
[tex]=\frac{21}{60}-\frac{5}{5}[/tex]
To simplify the above expression, 21 and 60 are cancelled by 3.
[tex]=\frac{7}{20}-\frac{1}{1}[/tex]
Do cross multiplication to make the denominator same.
[tex]=\frac{7}{20}-\frac{20}{20}[/tex]
[tex]=\frac{7-20}{20}[/tex]
[tex]=\frac{-13}{20}[/tex]
The value of the given expression is [tex]\frac{-13}{20}.[/tex]
