Solve (3/4-2/3)*11/5

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

Evaluate

$$\frac{1}{10}=0.1$$

Solution Steps

Least common multiple of 4 and 3 is 12. Convert \frac{3}{4} and \frac{2}{3} to fractions with denominator 12.

$$\left(\frac{9}{12}-\frac{8}{12}\right)\times \frac{1\times 5+1}{5}$$

Since \frac{9}{12} and \frac{8}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-8}{12}\times \frac{1\times 5+1}{5}$$

Subtract 8 from 9 to get 1.

$$\frac{1}{12}\times \frac{1\times 5+1}{5}$$

Multiply 1 and 5 to get 5.

$$\frac{1}{12}\times \frac{5+1}{5}$$

Add 5 and 1 to get 6.

$$\frac{1}{12}\times \frac{6}{5}$$

Multiply \frac{1}{12} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 6}{12\times 5}$$

Do the multiplications in the fraction \frac{1\times 6}{12\times 5}.

$$\frac{6}{60}$$

Reduce the fraction \frac{6}{60} to lowest terms by extracting and canceling out 6.

$$\frac{1}{10}$$

Factor

$$\frac{1}{2 \cdot 5} = 0.1$$