Solve -7/8+4.5=

$$\frac{ -7 }{ 8 } +4.5=$$

Evaluate

$$3.625$$

Solution Steps

Fraction \frac{-7}{8} can be rewritten as -\frac{7}{8} by extracting the negative sign.

$$-\frac{7}{8}+4.5$$

Convert decimal number 4.5 to fraction \frac{45}{10}. Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{7}{8}+\frac{9}{2}$$

Least common multiple of 8 and 2 is 8. Convert -\frac{7}{8} and \frac{9}{2} to fractions with denominator 8.

$$-\frac{7}{8}+\frac{36}{8}$$

Since -\frac{7}{8} and \frac{36}{8} have the same denominator, add them by adding their numerators.

$$\frac{-7+36}{8}$$

Add -7 and 36 to get 29.

$$\frac{29}{8}$$

Factor

$$\frac{29}{2 ^ {3}} = 3\frac{5}{8} = 3.625$$