Question

Subtract 3 4/5 -1 3/5

Answer 1

The given expression is :

$3\frac{4}{5}-1\frac{3}{5}$

Express the mixed fraction in the fraction form :

$\begin{gathered} 3\frac{4}{5}=\frac{3\times5+4}{5} \\ 3\frac{4}{5}=\frac{19}{5} \\ \\ 1\frac{3}{5}=\frac{1\times5+3}{5} \\ 1\frac{3}{5}=\frac{8}{5} \end{gathered}$

Substitute the value :

$3\frac{4}{5}-1\frac{3}{5}=\frac{19}{5}-\frac{8}{5}$

Simplify: Since the denominator are same so equate the numertor value together :

$\begin{gathered} 3\frac{4}{5}-1\frac{3}{5}=\frac{19}{5}-\frac{8}{5} \\ 3\frac{4}{5}-1\frac{3}{5}=\frac{19-8}{5} \\ 3\frac{4}{5}-1\frac{3}{5}=\frac{11}{5} \end{gathered}$

Express 11/5 in terms of mixed fraction :

$\text{ If }\frac{a}{b}\text{ then the mixed fraction has Quotient}\frac{\operatorname{Re}maider}{Divisor}$

So, divide 11/5 :

So :

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

$3\frac{4}{5}-1\frac{3}{5}=2\frac{1}{5}$

Now express in the deimal form :

So, 11/5 = 2.2

$3\frac{4}{5}-1\frac{3}{5}\text{ = 2.2}$

Answer : 3 4/5 -1 3/5​ = 2 1/5, 3 4/5 -1 3/5​ = 11/5 or 3 4/5 -1 3/5​ = 2.2