Question

solve it step by step

Answer 1

Heya !


1) $3 \frac{4}{7}$ × $\frac{3}{5}$

= First of all you can't multiply mixed fraction to a normal fraction_

= _Therefore, we need to convert mixed fraction in to improper fraction_

= $\frac{(Whole number * denominator) +numerator}{denominator}$

= $\frac{(3*7)+4}{7}$ 

= $\frac{21+4}{7}$

= $\frac{25}{7}$

_Now we can multiply_

= $\frac{25}{7}$ ×$\frac{3}{5}$ 

= $\frac{25*3}{7*5}$

= $\frac{75}{35}$

_Now will reduce this fraction to it's simplest form_

= $\frac{75/5}{35/5}$ 

= $\frac{15}{7}$ 



Hope it helps ☺️☺️

Answer 2

$\bold{Mixed\: fraction}$

Mixed fraction is a fraction in which there is a whole number attached to a fraction.

$\bold{Improper\: fraction}$

In this type of fraction , the numerator is greater than the denominator.

$\bold{Proper\: fraction}$

In this type of fraction, denominator is greater than the numerator.

$\underline{\bold{Solution:-}}$

$3 \frac{4}{7} \times \frac{3}{5} \\ \\ \bold{First \: of \: all \: change \: the \: mixed }\\\bold{ fraction \: into \: improper \: fraction}\\ \\ \bold{Change \: the \: mixed \: fraction \:} \\\bold{ into \: inproper \: fraction \: as \: shown }\\ \bold{below.} \\ \\ = \frac{7 \times 3 + 4}{7} \times \frac{3}{5} \\ \\ = \frac{21 + 4}{7} \times \frac{3}{5} \\ \\ = \frac{25}{7} \times \frac{3}{5} \\ \\ = \frac{5 \times 3}{7} \\ \\ = \frac{15}{7} \\ \\\boxed{ = 2 \frac{1}{7} }$