Solve (4/5-2/3)-10=10/15

$$( \frac { 4 } { 5 } - \frac { 2 } { 3 } ) - 10 = \frac { 10 } { 15 }$$

Verify

Solution Steps

Least common multiple of 5 and 3 is 15. Convert \frac{4}{5} and \frac{2}{3} to fractions with denominator 15.

$$\frac{12}{15}-\frac{10}{15}-10=\frac{10}{15}$$

Since \frac{12}{15} and \frac{10}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-10}{15}-10=\frac{10}{15}$$

Subtract 10 from 12 to get 2.

$$\frac{2}{15}-10=\frac{10}{15}$$

Convert 10 to fraction \frac{150}{15}.

$$\frac{2}{15}-\frac{150}{15}=\frac{10}{15}$$

Since \frac{2}{15} and \frac{150}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-150}{15}=\frac{10}{15}$$

Subtract 150 from 2 to get -148.

$$-\frac{148}{15}=\frac{10}{15}$$

Compare -\frac{148}{15} and \frac{10}{15}.

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