Answer:
- [tex]\frac{8}{15}-\left(\frac{-2}{3}\right)=\frac{6}{5}[/tex]
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
[tex]a-b=\frac{8}{15}-\left(\frac{-2}{3}\right)[/tex]
[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex]
[tex]=\frac{8}{15}-\frac{-2}{3}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex]
[tex]=\frac{8}{15}-\left(-\frac{2}{3}\right)[/tex]
[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]
[tex]=\frac{8}{15}+\frac{2}{3}[/tex]
[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
[tex]=\frac{8+10}{15}[/tex]
[tex]=\frac{18}{15}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:3[/tex]
[tex]=\frac{6}{5}[/tex]
Thus,
- [tex]\frac{8}{15}-\left(\frac{-2}{3}\right)=\frac{6}{5}[/tex]
