Solve 124/5-85/10

$$12 \frac { 4 } { 5 } - 8 \frac { 5 } { 10 }$$

Evaluate

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

Solution Steps

Multiply 12 and 5 to get 60.

$$\frac{60+4}{5}-\frac{8\times 10+5}{10}$$

Add 60 and 4 to get 64.

$$\frac{64}{5}-\frac{8\times 10+5}{10}$$

Multiply 8 and 10 to get 80.

$$\frac{64}{5}-\frac{80+5}{10}$$

Add 80 and 5 to get 85.

$$\frac{64}{5}-\frac{85}{10}$$

Reduce the fraction \frac{85}{10} to lowest terms by extracting and canceling out 5.

$$\frac{64}{5}-\frac{17}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{64}{5} and \frac{17}{2} to fractions with denominator 10.

$$\frac{128}{10}-\frac{85}{10}$$

Since \frac{128}{10} and \frac{85}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{128-85}{10}$$

Subtract 85 from 128 to get 43.

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

Factor

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