Solve 16/27-24/30=-4

$$\frac { 16 } { 27 } - \frac { 24 } { 30 } = - 4$$

Verify

Solution Steps

Reduce the fraction \frac{24}{30} to lowest terms by extracting and canceling out 6.

$$\frac{16}{27}-\frac{4}{5}=-4$$

Least common multiple of 27 and 5 is 135. Convert \frac{16}{27} and \frac{4}{5} to fractions with denominator 135.

$$\frac{80}{135}-\frac{108}{135}=-4$$

Since \frac{80}{135} and \frac{108}{135} have the same denominator, subtract them by subtracting their numerators.

$$\frac{80-108}{135}=-4$$

Subtract 108 from 80 to get -28.

$$-\frac{28}{135}=-4$$

Convert -4 to fraction -\frac{540}{135}.

$$-\frac{28}{135}=-\frac{540}{135}$$

Compare -\frac{28}{135} and -\frac{540}{135}.

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