Solve (3+9/5)*3/8-1/2

$$( 3 + \frac { 9 } { 5 } ) \times \frac { 3 } { 8 } - \frac { 1 } { 2 }$$

Evaluate

$$\frac{13}{10}=1.3$$

Solution Steps

Convert 3 to fraction \frac{15}{5}.

$$\left(\frac{15}{5}+\frac{9}{5}\right)\times \frac{3}{8}-\frac{1}{2}$$

Since \frac{15}{5} and \frac{9}{5} have the same denominator, add them by adding their numerators.

$$\frac{15+9}{5}\times \frac{3}{8}-\frac{1}{2}$$

Add 15 and 9 to get 24.

$$\frac{24}{5}\times \frac{3}{8}-\frac{1}{2}$$

Multiply \frac{24}{5} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{24\times 3}{5\times 8}-\frac{1}{2}$$

Do the multiplications in the fraction \frac{24\times 3}{5\times 8}.

$$\frac{72}{40}-\frac{1}{2}$$

Reduce the fraction \frac{72}{40} to lowest terms by extracting and canceling out 8.

$$\frac{9}{5}-\frac{1}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{9}{5} and \frac{1}{2} to fractions with denominator 10.

$$\frac{18}{10}-\frac{5}{10}$$

Since \frac{18}{10} and \frac{5}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18-5}{10}$$

Subtract 5 from 18 to get 13.

$$\frac{13}{10}$$

Factor

$$\frac{13}{2 \cdot 5} = 1\frac{3}{10} = 1.3$$