Solve |-53/7|=53/7

$$| - 5 \frac { 3 } { 7 } | = 5 \frac { 3 } { 7 }$$

Verify

Solution Steps

Multiply both sides of the equation by 7.

$$7|-\frac{5\times 7+3}{7}|=5\times 7+3$$

Multiply 5 and 7 to get 35.

$$7|-\frac{35+3}{7}|=5\times 7+3$$

Add 35 and 3 to get 38.

$$7|-\frac{38}{7}|=5\times 7+3$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{38}{7} is \frac{38}{7}.

$$7\times \frac{38}{7}=5\times 7+3$$

Cancel out 7 and 7.

$$38=5\times 7+3$$

Multiply 5 and 7 to get 35.

$$38=35+3$$

Add 35 and 3 to get 38.

$$38=38$$

Compare 38 and 38.

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