Question

7 2/9 - 2 5/12= (unlike Denominators)

Answer 1

`\boxed{(173)/(36)}` OR
`\boxed{4\,(29)/(36)}`

Explanation:

First, we can convert each mixed number into an improper fraction:

`7(2)/(9)= 7\cdot 1 + \frac{2}9`

`=7\cdot (9)/(9) + (2)/(9)`

`= (63)/(9) + (2)/(9)`

`= (65)/(9)`

__

`2(5)/(12)= 2\cdot 1 + (5)/(12)`

`= 2\cdot(12)/(12)+(5)/(12)`

`= (24)/(12) + (5)/(12)`

`=(29)/(12)`

↓ putting these back into the equation

`(65)/(9) - (29)/(12)=\ ?`

Next, we can find a common denominator by finding the Least Common Multiple of 9 and 12:

factorization of 9: 3 × 3

factorization of 12: 3 × 4

LCM: (3 × 3) × 4 = 36

Next, we can get each fraction to this denominator:

`(65)/(9)\cdot(4)/(4) - (29)/(12)\cdot(3)/(3)=\ ?`

`(260)/(36) - (87)/(36)=\ ?`

Finally, we can subtract the numerators:

`\boxed{(173)/(36)}` OR
`\boxed{4\,(29)/(36)}`