Solve 1/-10-1/-15=1/4

$$\frac { 1 } { - 10 } - \frac { 1 } { - 15 } = \frac { 1 } { 4 }$$

Verify

Solution Steps

Fraction \frac{1}{-10} can be rewritten as -\frac{1}{10} by extracting the negative sign.

$$-\frac{1}{10}-\frac{1}{-15}=\frac{1}{4}$$

Fraction \frac{1}{-15} can be rewritten as -\frac{1}{15} by extracting the negative sign.

$$-\frac{1}{10}-\left(-\frac{1}{15}\right)=\frac{1}{4}$$

The opposite of -\frac{1}{15} is \frac{1}{15}.

$$-\frac{1}{10}+\frac{1}{15}=\frac{1}{4}$$

Least common multiple of 10 and 15 is 30. Convert -\frac{1}{10} and \frac{1}{15} to fractions with denominator 30.

$$-\frac{3}{30}+\frac{2}{30}=\frac{1}{4}$$

Since -\frac{3}{30} and \frac{2}{30} have the same denominator, add them by adding their numerators.

$$\frac{-3+2}{30}=\frac{1}{4}$$

Add -3 and 2 to get -1.

$$-\frac{1}{30}=\frac{1}{4}$$

Least common multiple of 30 and 4 is 60. Convert -\frac{1}{30} and \frac{1}{4} to fractions with denominator 60.

$$-\frac{2}{60}=\frac{15}{60}$$

Compare -\frac{2}{60} and \frac{15}{60}.

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