Question

Reduce: 2 · 3 · 3 · 5 2 · 2 · 2 · 3 3 · 5 · 5

Answer 1

The given expression is :

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

The general form to simplify the mixed fraction is :

$a\frac{b}{c}=\frac{a\times c+b}{c}$

Simplify the given fraction :

$\begin{gathered} 3\frac{1}{3}=\frac{3\times3+1}{3} \\ 3\frac{1}{3}=\frac{10}{3} \end{gathered}$$\begin{gathered} 1\frac{3}{5}=\frac{1\times5+3}{5} \\ 1\frac{3}{5}=\frac{8}{5} \end{gathered}$

Substitute the value and simplify :

$\begin{gathered} 3\frac{1}{3}-1\frac{3}{5}=\frac{10}{3}-\frac{8}{5} \\ 3\frac{1}{3}-1\frac{3}{5}=\frac{5\times10-3\times8}{15} \\ 3\frac{1}{3}-1\frac{3}{5}=\frac{50-24}{15} \\ 3\frac{1}{3}-1\frac{3}{5}=\frac{26}{15} \end{gathered}$

To express the fraction 26/15 into mixed fraction :

Divide 26 by 15 :

Mixed Fraction is written as : Quotient Remainder/Divisor

Here Quotient = 1, Remainder = 11 and dividor = 15

$\frac{26}{15}=1\frac{11}{15}$

Thus :

$3\frac{1}{3}-1\frac{3}{5}=1\frac{11}{15}$

Answer :

$3\frac{1}{3}-1\frac{3}{5}=1\frac{11}{15}$