Solve 16/3-41/4=21/3-11/4

$$\frac { 16 } { 3 } - 4 \frac { 1 } { 4 } = 2 \frac { 1 } { 3 } - 1 \frac { 1 } { 4 }$$

Verify

Solution Steps

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

$$64-3\left(4\times 4+1\right)=4\left(2\times 3+1\right)-3\left(4+1\right)$$

Multiply 4 and 4 to get 16.

$$64-3\left(16+1\right)=4\left(2\times 3+1\right)-3\left(4+1\right)$$

Add 16 and 1 to get 17.

$$64-3\times 17=4\left(2\times 3+1\right)-3\left(4+1\right)$$

Multiply -3 and 17 to get -51.

$$64-51=4\left(2\times 3+1\right)-3\left(4+1\right)$$

Subtract 51 from 64 to get 13.

$$13=4\left(2\times 3+1\right)-3\left(4+1\right)$$

Multiply 2 and 3 to get 6.

$$13=4\left(6+1\right)-3\left(4+1\right)$$

Add 6 and 1 to get 7.

$$13=4\times 7-3\left(4+1\right)$$

Multiply 4 and 7 to get 28.

$$13=28-3\left(4+1\right)$$

Add 4 and 1 to get 5.

$$13=28-3\times 5$$

Multiply -3 and 5 to get -15.

$$13=28-15$$

Subtract 15 from 28 to get 13.

$$13=13$$

Compare 13 and 13.

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