Solve 51/2div12-22/55

$$5 \frac { 1 } { 2 } \div 12 - \frac { 22 } { 55 }$$

Evaluate

$$\frac{7}{120}\approx 0.058333333$$

Solution Steps

Express \frac{\frac{5\times 2+1}{2}}{12} as a single fraction.

$$\frac{5\times 2+1}{2\times 12}-\frac{22}{55}$$

Multiply 5 and 2 to get 10.

$$\frac{10+1}{2\times 12}-\frac{22}{55}$$

Add 10 and 1 to get 11.

$$\frac{11}{2\times 12}-\frac{22}{55}$$

Multiply 2 and 12 to get 24.

$$\frac{11}{24}-\frac{22}{55}$$

Reduce the fraction \frac{22}{55} to lowest terms by extracting and canceling out 11.

$$\frac{11}{24}-\frac{2}{5}$$

Least common multiple of 24 and 5 is 120. Convert \frac{11}{24} and \frac{2}{5} to fractions with denominator 120.

$$\frac{55}{120}-\frac{48}{120}$$

Since \frac{55}{120} and \frac{48}{120} have the same denominator, subtract them by subtracting their numerators.

$$\frac{55-48}{120}$$

Subtract 48 from 55 to get 7.

$$\frac{7}{120}$$

Factor

$$\frac{7}{2 ^ {3} \cdot 3 \cdot 5} = 0.058333333333333334$$