Solve 64/5-21/10

$$6 \frac { 4 } { 5 } - 2 \frac { 1 } { 10 }$$

Evaluate

$$\frac{47}{10}=4.7$$

Solution Steps

Multiply 6 and 5 to get 30.

$$\frac{30+4}{5}-\frac{2\times 10+1}{10}$$

Add 30 and 4 to get 34.

$$\frac{34}{5}-\frac{2\times 10+1}{10}$$

Multiply 2 and 10 to get 20.

$$\frac{34}{5}-\frac{20+1}{10}$$

Add 20 and 1 to get 21.

$$\frac{34}{5}-\frac{21}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{34}{5} and \frac{21}{10} to fractions with denominator 10.

$$\frac{68}{10}-\frac{21}{10}$$

Since \frac{68}{10} and \frac{21}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{68-21}{10}$$

Subtract 21 from 68 to get 47.

$$\frac{47}{10}$$

Factor

$$\frac{47}{2 \cdot 5} = 4\frac{7}{10} = 4.7$$