Question

6/7+3/5 simplest form

Answer 1

51/35=1 16/35

Answer 2

`\huge\boxed{(6)/(7)+(3)/(5)=(51)/(35)=1(16)/(35)}`

Explanation:

`(6)/(7)+(3)/(5)\\\\\text{Find the}\ LCD-\text{Least Common Denominator}\\\\\text{List multiples of 7}:\ 0,\ 7,\ 14,\ 21,\ 28,\ \boxed{35},\ 42,\ ...\\\text{List multiples of 5:}\ 0,\ 5,\ 10,\ 15,\ 20,\ 25,\ 30,\ \boxed{35},\ 40,\ ...\\\\LCD(7,\ 5)=\boxed{35}\\\\35=7\cdot5`

`(6)/(7)+(3)/(5)=((6)(5))/((7)(5))+((7)(3))/((7)(5))=(30)/(35)+(21)/(35)=(30+21)/(35)=(51)/(35)=(35+16)/(35)=1(16)/(35)`