Question

Find the difference between8/15 and 2/3 Show all calculations in your final answer.

Answer 1

Answer:

• $\frac{8}{15}-\left(\frac{-2}{3}\right)=\frac{6}{5}$          

Step-by-step explanation:

• Let the value of a number 'a' be = 8/15

• Let the value of a number 'b' be = 2/3

The difference between the two numbers can be calculated by subtracting the numbers

$a-b=\frac{8}{15}-\left(\frac{-2}{3}\right)$

$\mathrm{Remove\:parentheses}:\quad \left(a\right)=a$

         $=\frac{8}{15}-\frac{-2}{3}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}$

          $=\frac{8}{15}-\left(-\frac{2}{3}\right)$

$\mathrm{Apply\:rule}\:-\left(-a\right)=a$

          $=\frac{8}{15}+\frac{2}{3}$

$\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}$

          $=\frac{8+10}{15}$

          $=\frac{18}{15}$

$\mathrm{Cancel\:the\:common\:factor:}\:3$

           $=\frac{6}{5}$

Thus,

• $\frac{8}{15}-\left(\frac{-2}{3}\right)=\frac{6}{5}$