Question

simple ! please show work math experts :) thank you and have a wonderful day

Answer 1

1)
`\frac78`

2)
`(17)/(12) = 1 (5)/(12)`

3)
`(53)/(12)=4 (5)/(12)`

Explanation:

1)

`\frac38+\frac12=\frac38+(1 *4)/(2 * 4)=\frac38+\frac48=\frac78`

2)

`\frac23+\frac34=(2 * 4)/(3 * 4)+(3 *3)/(4 *3)=\frac8{12}+(9)/(12)=(17)/(12)=1 (5)/(12)`

3)

First convert mixed number into improper fraction:

`4 \frac23=(3*4+2)/(3)=(14)/(3)`

`\implies 4 \frac23-(3)/(12)=(14)/(3)-(3)/(12)=(14*4)/(3*4)-(3)/(12)=(56)/(12)-(3)/(12)=(53)/(12)=4 (5)/(12)`