Solve 92/5-27/10

$$9 \frac { 2 } { 5 } - 2 \frac { 7 } { 10 }$$

Evaluate

$$\frac{67}{10}=6.7$$

Solution Steps

Multiply 9 and 5 to get 45.

$$\frac{45+2}{5}-\frac{2\times 10+7}{10}$$

Add 45 and 2 to get 47.

$$\frac{47}{5}-\frac{2\times 10+7}{10}$$

Multiply 2 and 10 to get 20.

$$\frac{47}{5}-\frac{20+7}{10}$$

Add 20 and 7 to get 27.

$$\frac{47}{5}-\frac{27}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{47}{5} and \frac{27}{10} to fractions with denominator 10.

$$\frac{94}{10}-\frac{27}{10}$$

Since \frac{94}{10} and \frac{27}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{94-27}{10}$$

Subtract 27 from 94 to get 67.

$$\frac{67}{10}$$

Factor

$$\frac{67}{2 \cdot 5} = 6\frac{7}{10} = 6.7$$