Solve 36/10-13/6=

$$3 \frac { 6 } { 10 } - 1 \frac { 3 } { 6 } =$$

Evaluate

$$\frac{21}{10}=2.1$$

Solution Steps

Multiply 3 and 10 to get 30.

$$\frac{30+6}{10}-\frac{1\times 6+3}{6}$$

Add 30 and 6 to get 36.

$$\frac{36}{10}-\frac{1\times 6+3}{6}$$

Reduce the fraction \frac{36}{10} to lowest terms by extracting and canceling out 2.

$$\frac{18}{5}-\frac{1\times 6+3}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{18}{5}-\frac{6+3}{6}$$

Add 6 and 3 to get 9.

$$\frac{18}{5}-\frac{9}{6}$$

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

$$\frac{18}{5}-\frac{3}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{18}{5} and \frac{3}{2} to fractions with denominator 10.

$$\frac{36}{10}-\frac{15}{10}$$

Since \frac{36}{10} and \frac{15}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{36-15}{10}$$

Subtract 15 from 36 to get 21.

$$\frac{21}{10}$$

Factor

$$\frac{3 \cdot 7}{2 \cdot 5} = 2\frac{1}{10} = 2.1$$