Question

9. Find the missing value in the equation.
3/4- blank/3=5/12

Answer 1

`\large\boxed{(3)/(4)-(1)/(3)=(5)/(12)}`

Explanation:

`(3)/(4)-\frac{\boxed{\ }}{3}=(5)/(12)\\\\\bold{METHOD\ 1:}\\\\LCD=12\\\\(3\cdot3)/(4\cdot3)-\frac{4\cdot\boxed{\ }}{4\cdot3}=(5)/(12)\\\\(9)/(12)-\frac{4\boxed{\ }}{12}=(5)/(12)\\\\\frac{9-4\boxed{\ }}{12}=(5)/(12)\iff9-4\boxed{\ }=5\qquad\text{subtract 9 from both sides}\\\\-4\boxed{\ }=-4\qquad\text{divide both sides by (-4)}\\\\\boxed{\ }=1`

`\bold{METHOD\ 2:}\\\\(3)/(4)-\frac{\boxed{\ }}{3}=(5)/(12)\qquad\text{subtract}\ (3)/(4)\ \text{from both sides}\\\\-\frac{\boxed{\ }}{3}=(5)/(12)-(3)/(4)\\\\-\frac{\boxed{\ }}{3}=(5)/(12)-(3\cdot3)/(4\cdot3)\\\\-\frac{\boxed{}}{3}=(5)/(12)-(9)/(12)\\\\-\frac{\boxed{\ }}{3}=-(4)/(12)\\\\-\frac{\boxed{\ }}{3}=-(1)/(3)\to\boxed{\ }=1`