Solve -(-25/8)-(-87/12)=

$$- ( - 2 \frac { 5 } { 8 } ) - ( - 8 \frac { 7 } { 12 } ) =$$

Evaluate

$$\frac{269}{24}\approx 11.208333333$$

Solution Steps

Multiply 2 and 8 to get 16.

$$-\left(-\frac{16+5}{8}\right)-\left(-\frac{8\times 12+7}{12}\right)$$

Add 16 and 5 to get 21.

$$-\left(-\frac{21}{8}\right)-\left(-\frac{8\times 12+7}{12}\right)$$

The opposite of -\frac{21}{8} is \frac{21}{8}.

$$\frac{21}{8}-\left(-\frac{8\times 12+7}{12}\right)$$

Multiply 8 and 12 to get 96.

$$\frac{21}{8}-\left(-\frac{96+7}{12}\right)$$

Add 96 and 7 to get 103.

$$\frac{21}{8}-\left(-\frac{103}{12}\right)$$

The opposite of -\frac{103}{12} is \frac{103}{12}.

$$\frac{21}{8}+\frac{103}{12}$$

Least common multiple of 8 and 12 is 24. Convert \frac{21}{8} and \frac{103}{12} to fractions with denominator 24.

$$\frac{63}{24}+\frac{206}{24}$$

Since \frac{63}{24} and \frac{206}{24} have the same denominator, add them by adding their numerators.

$$\frac{63+206}{24}$$

Add 63 and 206 to get 269.

$$\frac{269}{24}$$

Factor

$$\frac{269}{2 ^ {3} \cdot 3} = 11\frac{5}{24} = 11.208333333333334$$