Solve 3/4-2/3div40

$$\frac { 3 } { 4 } - \frac { 2 } { 3 } \div 40$$

Evaluate

$$\frac{11}{15}\approx 0.733333333$$

Solution Steps

Express \frac{\frac{2}{3}}{40} as a single fraction.

$$\frac{3}{4}-\frac{2}{3\times 40}$$

Multiply 3 and 40 to get 120.

$$\frac{3}{4}-\frac{2}{120}$$

Reduce the fraction \frac{2}{120} to lowest terms by extracting and canceling out 2.

$$\frac{3}{4}-\frac{1}{60}$$

Least common multiple of 4 and 60 is 60. Convert \frac{3}{4} and \frac{1}{60} to fractions with denominator 60.

$$\frac{45}{60}-\frac{1}{60}$$

Since \frac{45}{60} and \frac{1}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{45-1}{60}$$

Subtract 1 from 45 to get 44.

$$\frac{44}{60}$$

Reduce the fraction \frac{44}{60} to lowest terms by extracting and canceling out 4.

$$\frac{11}{15}$$

Factor

$$\frac{11}{3 \cdot 5} = 0.7333333333333333$$