Solve 5/6div1/3-11/10

$$\frac { 5 } { 6 } \div \frac { 1 } { 3 } - 1 \frac { 1 } { 10 }$$

Evaluate

$$\frac{7}{5}=1.4$$

Solution Steps

Divide \frac{5}{6} by \frac{1}{3} by multiplying \frac{5}{6} by the reciprocal of \frac{1}{3}.

$$\frac{5}{6}\times 3-\frac{1\times 10+1}{10}$$

Express \frac{5}{6}\times 3 as a single fraction.

$$\frac{5\times 3}{6}-\frac{1\times 10+1}{10}$$

Multiply 5 and 3 to get 15.

$$\frac{15}{6}-\frac{1\times 10+1}{10}$$

Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.

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

Multiply 1 and 10 to get 10.

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

Add 10 and 1 to get 11.

$$\frac{5}{2}-\frac{11}{10}$$

Least common multiple of 2 and 10 is 10. Convert \frac{5}{2} and \frac{11}{10} to fractions with denominator 10.

$$\frac{25}{10}-\frac{11}{10}$$

Since \frac{25}{10} and \frac{11}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-11}{10}$$

Subtract 11 from 25 to get 14.

$$\frac{14}{10}$$

Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$\frac{7}{5}$$

Factor

$$\frac{7}{5} = 1\frac{2}{5} = 1.4$$