Solve 31/5*21/4=62/5

$$3 \frac { 1 } { 5 } \times 2 \frac { 1 } { 4 } = 6 \frac { 2 } { 5 }$$

Verify

Solution Steps

Multiply both sides of the equation by 20, the least common multiple of 5,4.

$$\left(3\times 5+1\right)\left(2\times 4+1\right)=4\left(6\times 5+2\right)$$

Multiply 3 and 5 to get 15.

$$\left(15+1\right)\left(2\times 4+1\right)=4\left(6\times 5+2\right)$$

Add 15 and 1 to get 16.

$$16\left(2\times 4+1\right)=4\left(6\times 5+2\right)$$

Multiply 2 and 4 to get 8.

$$16\left(8+1\right)=4\left(6\times 5+2\right)$$

Add 8 and 1 to get 9.

$$16\times 9=4\left(6\times 5+2\right)$$

Multiply 16 and 9 to get 144.

$$144=4\left(6\times 5+2\right)$$

Multiply 6 and 5 to get 30.

$$144=4\left(30+2\right)$$

Add 30 and 2 to get 32.

$$144=4\times 32$$

Multiply 4 and 32 to get 128.

$$144=128$$

Compare 144 and 128.

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