Question

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

Answer 1

• 
  `(8)/(15)-\left((-2)/(3)\right)=(6)/(5)`

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=(8)/(15)-\left((-2)/(3)\right)`

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

`=(8)/(15)-(-2)/(3)`

`\mathrm{Apply\:the\:fraction\:rule}:\quad (-a)/(b)=-(a)/(b)`

`=(8)/(15)-\left(-(2)/(3)\right)`

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

`=(8)/(15)+(2)/(3)`

`\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad (a)/(c)\pm (b)/(c)=(a\pm \:b)/(c)`

`=(8+10)/(15)`

`=(18)/(15)`

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

`=(6)/(5)`

Thus,

• 
  `(8)/(15)-\left((-2)/(3)\right)=(6)/(5)`