Solve 3/8+7/10-3/4=

$$\frac { 3 } { 8 } + \frac { 7 } { 10 } - \frac { 3 } { 4 } =$$

Evaluate

$$\frac{13}{40}=0.325$$

Solution Steps

Least common multiple of 8 and 10 is 40. Convert \frac{3}{8} and \frac{7}{10} to fractions with denominator 40.

$$\frac{15}{40}+\frac{28}{40}-\frac{3}{4}$$

Since \frac{15}{40} and \frac{28}{40} have the same denominator, add them by adding their numerators.

$$\frac{15+28}{40}-\frac{3}{4}$$

Add 15 and 28 to get 43.

$$\frac{43}{40}-\frac{3}{4}$$

Least common multiple of 40 and 4 is 40. Convert \frac{43}{40} and \frac{3}{4} to fractions with denominator 40.

$$\frac{43}{40}-\frac{30}{40}$$

Since \frac{43}{40} and \frac{30}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{43-30}{40}$$

Subtract 30 from 43 to get 13.

$$\frac{13}{40}$$

Factor

$$\frac{13}{2 ^ {3} \cdot 5} = 0.325$$