Solve 2/3*11/4-11/5div2

$$\frac { 2 } { 3 } \times 1 \frac { 1 } { 4 } - 1 \frac { 1 } { 5 } \div 2$$

Evaluate

$$\frac{7}{30}\approx 0.233333333$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{2}{3}\times \frac{4+1}{4}-\frac{\frac{1\times 5+1}{5}}{2}$$

Add 4 and 1 to get 5.

$$\frac{2}{3}\times \frac{5}{4}-\frac{\frac{1\times 5+1}{5}}{2}$$

Multiply \frac{2}{3} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 5}{3\times 4}-\frac{\frac{1\times 5+1}{5}}{2}$$

Do the multiplications in the fraction \frac{2\times 5}{3\times 4}.

$$\frac{10}{12}-\frac{\frac{1\times 5+1}{5}}{2}$$

Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.

$$\frac{5}{6}-\frac{\frac{1\times 5+1}{5}}{2}$$

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

$$\frac{5}{6}-\frac{1\times 5+1}{5\times 2}$$

Multiply 1 and 5 to get 5.

$$\frac{5}{6}-\frac{5+1}{5\times 2}$$

Add 5 and 1 to get 6.

$$\frac{5}{6}-\frac{6}{5\times 2}$$

Multiply 5 and 2 to get 10.

$$\frac{5}{6}-\frac{6}{10}$$

Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{5}{6}-\frac{3}{5}$$

Least common multiple of 6 and 5 is 30. Convert \frac{5}{6} and \frac{3}{5} to fractions with denominator 30.

$$\frac{25}{30}-\frac{18}{30}$$

Since \frac{25}{30} and \frac{18}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-18}{30}$$

Subtract 18 from 25 to get 7.

$$\frac{7}{30}$$

Factor

$$\frac{7}{2 \cdot 3 \cdot 5} = 0.23333333333333334$$