Solve 52/5*23/6=1315/30

$$5 \frac { 2 } { 5 } \times 2 \frac { 3 } { 6 } = 13 \frac { 15 } { 30 }$$

Verify

Solution Steps

Multiply both sides of the equation by 30, the least common multiple of 5,6,30.

$$\left(5\times 5+2\right)\left(2\times 6+3\right)=13\times 30+15$$

Multiply 5 and 5 to get 25.

$$\left(25+2\right)\left(2\times 6+3\right)=13\times 30+15$$

Add 25 and 2 to get 27.

$$27\left(2\times 6+3\right)=13\times 30+15$$

Multiply 2 and 6 to get 12.

$$27\left(12+3\right)=13\times 30+15$$

Add 12 and 3 to get 15.

$$27\times 15=13\times 30+15$$

Multiply 27 and 15 to get 405.

$$405=13\times 30+15$$

Multiply 13 and 30 to get 390.

$$405=390+15$$

Add 390 and 15 to get 405.

$$405=405$$

Compare 405 and 405.

$$\text{true}$$