Solve [5/4-(-7/8)]*(-7)div(-2)

$$[ \frac { 5 } { 4 } - ( - \frac { 7 } { 8 } ) ] \times ( - 7 ) \div ( - 2 )$$

Evaluate

$$\frac{119}{16}=7.4375$$

Solution Steps

The opposite of -\frac{7}{8} is \frac{7}{8}.

$$\frac{\left(\frac{5}{4}+\frac{7}{8}\right)\left(-7\right)}{-2}$$

Least common multiple of 4 and 8 is 8. Convert \frac{5}{4} and \frac{7}{8} to fractions with denominator 8.

$$\frac{\left(\frac{10}{8}+\frac{7}{8}\right)\left(-7\right)}{-2}$$

Since \frac{10}{8} and \frac{7}{8} have the same denominator, add them by adding their numerators.

$$\frac{\frac{10+7}{8}\left(-7\right)}{-2}$$

Add 10 and 7 to get 17.

$$\frac{\frac{17}{8}\left(-7\right)}{-2}$$

Express \frac{17}{8}\left(-7\right) as a single fraction.

$$\frac{\frac{17\left(-7\right)}{8}}{-2}$$

Multiply 17 and -7 to get -119.

$$\frac{\frac{-119}{8}}{-2}$$

Fraction \frac{-119}{8} can be rewritten as -\frac{119}{8} by extracting the negative sign.

$$\frac{-\frac{119}{8}}{-2}$$

Express \frac{-\frac{119}{8}}{-2} as a single fraction.

$$\frac{-119}{8\left(-2\right)}$$

Multiply 8 and -2 to get -16.

$$\frac{-119}{-16}$$

Fraction \frac{-119}{-16} can be simplified to \frac{119}{16} by removing the negative sign from both the numerator and the denominator.

$$\frac{119}{16}$$

Factor

$$\frac{7 \cdot 17}{2 ^ {4}} = 7\frac{7}{16} = 7.4375$$