Solve -47/8+6.75

$$-4 \frac{ 7 }{ 8 } +6.75$$

Evaluate

$$1.875$$

Solution Steps

Multiply 4 and 8 to get 32.

$$-\frac{32+7}{8}+6.75$$

Add 32 and 7 to get 39.

$$-\frac{39}{8}+6.75$$

Convert decimal number 6.75 to fraction \frac{675}{100}. Reduce the fraction \frac{675}{100} to lowest terms by extracting and canceling out 25.

$$-\frac{39}{8}+\frac{27}{4}$$

Least common multiple of 8 and 4 is 8. Convert -\frac{39}{8} and \frac{27}{4} to fractions with denominator 8.

$$-\frac{39}{8}+\frac{54}{8}$$

Since -\frac{39}{8} and \frac{54}{8} have the same denominator, add them by adding their numerators.

$$\frac{-39+54}{8}$$

Add -39 and 54 to get 15.

$$\frac{15}{8}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {3}} = 1\frac{7}{8} = 1.875$$