Solve 64/5-25/10=

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

Evaluate

$$\frac{43}{10}=4.3$$

Solution Steps

Multiply 6 and 5 to get 30.

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

Add 30 and 4 to get 34.

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

Multiply 2 and 10 to get 20.

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

Add 20 and 5 to get 25.

$$\frac{34}{5}-\frac{25}{10}$$

Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$\frac{34}{5}-\frac{5}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{34}{5} and \frac{5}{2} to fractions with denominator 10.

$$\frac{68}{10}-\frac{25}{10}$$

Since \frac{68}{10} and \frac{25}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{68-25}{10}$$

Subtract 25 from 68 to get 43.

$$\frac{43}{10}$$

Factor

$$\frac{43}{2 \cdot 5} = 4\frac{3}{10} = 4.3$$