Solve 5-7/10+12/5=

$$5 - \frac { 7 } { 10 } + 1 \frac { 2 } { 5 } =$$

Evaluate

$$\frac{57}{10}=5.7$$

Solution Steps

Convert 5 to fraction \frac{50}{10}.

$$\frac{50}{10}-\frac{7}{10}+\frac{1\times 5+2}{5}$$

Since \frac{50}{10} and \frac{7}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{50-7}{10}+\frac{1\times 5+2}{5}$$

Subtract 7 from 50 to get 43.

$$\frac{43}{10}+\frac{1\times 5+2}{5}$$

Multiply 1 and 5 to get 5.

$$\frac{43}{10}+\frac{5+2}{5}$$

Add 5 and 2 to get 7.

$$\frac{43}{10}+\frac{7}{5}$$

Least common multiple of 10 and 5 is 10. Convert \frac{43}{10} and \frac{7}{5} to fractions with denominator 10.

$$\frac{43}{10}+\frac{14}{10}$$

Since \frac{43}{10} and \frac{14}{10} have the same denominator, add them by adding their numerators.

$$\frac{43+14}{10}$$

Add 43 and 14 to get 57.

$$\frac{57}{10}$$

Factor

$$\frac{3 \cdot 19}{2 \cdot 5} = 5\frac{7}{10} = 5.7$$