Solve 21/3-(-31/4)=67/12

$$2 \frac { 1 } { 3 } - ( - 3 \frac { 1 } { 4 } ) = \frac { 67 } { 12 }$$

Verify

Solution Steps

Multiply both sides of the equation by 12, the least common multiple of 3,4,12.

$$4\left(2\times 3+1\right)-\left(-3\left(3\times 4+1\right)\right)=67$$

Multiply 2 and 3 to get 6.

$$4\left(6+1\right)-\left(-3\left(3\times 4+1\right)\right)=67$$

Add 6 and 1 to get 7.

$$4\times 7-\left(-3\left(3\times 4+1\right)\right)=67$$

Multiply 4 and 7 to get 28.

$$28-\left(-3\left(3\times 4+1\right)\right)=67$$

Multiply 3 and 4 to get 12.

$$28-\left(-3\left(12+1\right)\right)=67$$

Add 12 and 1 to get 13.

$$28-\left(-3\times 13\right)=67$$

Multiply -3 and 13 to get -39.

$$28-\left(-39\right)=67$$

The opposite of -39 is 39.

$$28+39=67$$

Add 28 and 39 to get 67.

$$67=67$$

Compare 67 and 67.

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