Solve 23/4=42/5

$$2 \frac { 3 } { 4 } = 4 \frac { 2 } { 5 }$$

Verify

Solution Steps

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

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

Multiply 2 and 4 to get 8.

$$5\left(8+3\right)=4\left(4\times 5+2\right)$$

Add 8 and 3 to get 11.

$$5\times 11=4\left(4\times 5+2\right)$$

Multiply 5 and 11 to get 55.

$$55=4\left(4\times 5+2\right)$$

Multiply 4 and 5 to get 20.

$$55=4\left(20+2\right)$$

Add 20 and 2 to get 22.

$$55=4\times 22$$

Multiply 4 and 22 to get 88.

$$55=88$$

Compare 55 and 88.

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