Solve 53/8*2-11/6=

$$5 \frac { 3 } { 8 } \times 2 - 1 \frac { 1 } { 6 } =$$

Evaluate

$$\frac{115}{12}\approx 9.583333333$$

Solution Steps

Multiply 5 and 8 to get 40.

$$\frac{40+3}{8}\times 2-\frac{1\times 6+1}{6}$$

Add 40 and 3 to get 43.

$$\frac{43}{8}\times 2-\frac{1\times 6+1}{6}$$

Express \frac{43}{8}\times 2 as a single fraction.

$$\frac{43\times 2}{8}-\frac{1\times 6+1}{6}$$

Multiply 43 and 2 to get 86.

$$\frac{86}{8}-\frac{1\times 6+1}{6}$$

Reduce the fraction \frac{86}{8} to lowest terms by extracting and canceling out 2.

$$\frac{43}{4}-\frac{1\times 6+1}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{43}{4}-\frac{6+1}{6}$$

Add 6 and 1 to get 7.

$$\frac{43}{4}-\frac{7}{6}$$

Least common multiple of 4 and 6 is 12. Convert \frac{43}{4} and \frac{7}{6} to fractions with denominator 12.

$$\frac{129}{12}-\frac{14}{12}$$

Since \frac{129}{12} and \frac{14}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{129-14}{12}$$

Subtract 14 from 129 to get 115.

$$\frac{115}{12}$$

Factor

$$\frac{5 \cdot 23}{2 ^ {2} \cdot 3} = 9\frac{7}{12} = 9.583333333333334$$