Solve -21/8+12/7

$$- 2 \frac { 1 } { 8 } + 1 \frac { 2 } { 7 }$$

Evaluate

$$-\frac{47}{56}\approx -0.839285714$$

Solution Steps

Multiply 2 and 8 to get 16.

$$-\frac{16+1}{8}+\frac{1\times 7+2}{7}$$

Add 16 and 1 to get 17.

$$-\frac{17}{8}+\frac{1\times 7+2}{7}$$

Multiply 1 and 7 to get 7.

$$-\frac{17}{8}+\frac{7+2}{7}$$

Add 7 and 2 to get 9.

$$-\frac{17}{8}+\frac{9}{7}$$

Least common multiple of 8 and 7 is 56. Convert -\frac{17}{8} and \frac{9}{7} to fractions with denominator 56.

$$-\frac{119}{56}+\frac{72}{56}$$

Since -\frac{119}{56} and \frac{72}{56} have the same denominator, add them by adding their numerators.

$$\frac{-119+72}{56}$$

Add -119 and 72 to get -47.

$$-\frac{47}{56}$$

Factor

$$-\frac{47}{56} = -0.8392857142857143$$