Solve 21/2*3/5=11/2

$$2 \frac { 1 } { 2 } \times \frac { 3 } { 5 } = 1 \frac { 1 } { 2 }$$

Verify

Solution Steps

Multiply both sides of the equation by 10, the least common multiple of 2,5.

$$5\left(2\times 2+1\right)\times \frac{3}{5}=5\left(1\times 2+1\right)$$

Multiply 2 and 2 to get 4.

$$5\left(4+1\right)\times \frac{3}{5}=5\left(1\times 2+1\right)$$

Add 4 and 1 to get 5.

$$5\times 5\times \frac{3}{5}=5\left(1\times 2+1\right)$$

Multiply 5 and 5 to get 25.

$$25\times \frac{3}{5}=5\left(1\times 2+1\right)$$

Express 25\times \frac{3}{5} as a single fraction.

$$\frac{25\times 3}{5}=5\left(1\times 2+1\right)$$

Multiply 25 and 3 to get 75.

$$\frac{75}{5}=5\left(1\times 2+1\right)$$

Divide 75 by 5 to get 15.

$$15=5\left(1\times 2+1\right)$$

Multiply 1 and 2 to get 2.

$$15=5\left(2+1\right)$$

Add 2 and 1 to get 3.

$$15=5\times 3$$

Multiply 5 and 3 to get 15.

$$15=15$$

Compare 15 and 15.

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