Solve 71/8+41/2-0.75

$$7 \frac { 1 } { 8 } + 4 \frac { 1 } { 2 } - 0.75$$

Evaluate

$$10.875$$

Solution Steps

Multiply 7 and 8 to get 56.

$$\frac{56+1}{8}+\frac{4\times 2+1}{2}-0.75$$

Add 56 and 1 to get 57.

$$\frac{57}{8}+\frac{4\times 2+1}{2}-0.75$$

Multiply 4 and 2 to get 8.

$$\frac{57}{8}+\frac{8+1}{2}-0.75$$

Add 8 and 1 to get 9.

$$\frac{57}{8}+\frac{9}{2}-0.75$$

Least common multiple of 8 and 2 is 8. Convert \frac{57}{8} and \frac{9}{2} to fractions with denominator 8.

$$\frac{57}{8}+\frac{36}{8}-0.75$$

Since \frac{57}{8} and \frac{36}{8} have the same denominator, add them by adding their numerators.

$$\frac{57+36}{8}-0.75$$

Add 57 and 36 to get 93.

$$\frac{93}{8}-0.75$$

Convert decimal number 0.75 to fraction \frac{75}{100}. Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

$$\frac{93}{8}-\frac{3}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{93}{8} and \frac{3}{4} to fractions with denominator 8.

$$\frac{93}{8}-\frac{6}{8}$$

Since \frac{93}{8} and \frac{6}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{93-6}{8}$$

Subtract 6 from 93 to get 87.

$$\frac{87}{8}$$

Factor

$$\frac{3 \cdot 29}{2 ^ {3}} = 10\frac{7}{8} = 10.875$$