Solve 41/2-22/3=7

$$4 \frac { 1 } { 2 } - 2 \frac { 2 } { 3 } = 7$$

Verify

Solution Steps

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$3\left(4\times 2+1\right)-2\left(2\times 3+2\right)=42$$

Multiply 4 and 2 to get 8.

$$3\left(8+1\right)-2\left(2\times 3+2\right)=42$$

Add 8 and 1 to get 9.

$$3\times 9-2\left(2\times 3+2\right)=42$$

Multiply 3 and 9 to get 27.

$$27-2\left(2\times 3+2\right)=42$$

Multiply 2 and 3 to get 6.

$$27-2\left(6+2\right)=42$$

Add 6 and 2 to get 8.

$$27-2\times 8=42$$

Multiply -2 and 8 to get -16.

$$27-16=42$$

Subtract 16 from 27 to get 11.

$$11=42$$

Compare 11 and 42.

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