Solve 12/5+36/7=59/35

$$1 \frac { 2 } { 5 } + 3 \frac { 6 } { 7 } = 5 \frac { 9 } { 35 }$$

Verify

Solution Steps

Multiply both sides of the equation by 35, the least common multiple of 5,7,35.

$$7\left(1\times 5+2\right)+5\left(3\times 7+6\right)=5\times 35+9$$

Multiply 1 and 5 to get 5.

$$7\left(5+2\right)+5\left(3\times 7+6\right)=5\times 35+9$$

Add 5 and 2 to get 7.

$$7\times 7+5\left(3\times 7+6\right)=5\times 35+9$$

Multiply 7 and 7 to get 49.

$$49+5\left(3\times 7+6\right)=5\times 35+9$$

Multiply 3 and 7 to get 21.

$$49+5\left(21+6\right)=5\times 35+9$$

Add 21 and 6 to get 27.

$$49+5\times 27=5\times 35+9$$

Multiply 5 and 27 to get 135.

$$49+135=5\times 35+9$$

Add 49 and 135 to get 184.

$$184=5\times 35+9$$

Multiply 5 and 35 to get 175.

$$184=175+9$$

Add 175 and 9 to get 184.

$$184=184$$

Compare 184 and 184.

$$\text{true}$$