Solve 52/3-4*11/8=

$$5 \frac { 2 } { 3 } - 4 \cdot 1 \frac { 1 } { 8 } =$$

Evaluate

$$\frac{7}{6}\approx 1.166666667$$

Solution Steps

Multiply 5 and 3 to get 15.

$$\frac{15+2}{3}-4\times \frac{1\times 8+1}{8}$$

Add 15 and 2 to get 17.

$$\frac{17}{3}-4\times \frac{1\times 8+1}{8}$$

Multiply 1 and 8 to get 8.

$$\frac{17}{3}-4\times \frac{8+1}{8}$$

Add 8 and 1 to get 9.

$$\frac{17}{3}-4\times \frac{9}{8}$$

Express 4\times \frac{9}{8} as a single fraction.

$$\frac{17}{3}-\frac{4\times 9}{8}$$

Multiply 4 and 9 to get 36.

$$\frac{17}{3}-\frac{36}{8}$$

Reduce the fraction \frac{36}{8} to lowest terms by extracting and canceling out 4.

$$\frac{17}{3}-\frac{9}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{17}{3} and \frac{9}{2} to fractions with denominator 6.

$$\frac{34}{6}-\frac{27}{6}$$

Since \frac{34}{6} and \frac{27}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{34-27}{6}$$

Subtract 27 from 34 to get 7.

$$\frac{7}{6}$$

Factor

$$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1.1666666666666667$$