Solve (3+1/2)*4/5

$$( 3 + 1 / 2 ) \times 4 / 5$$

Evaluate

$$\frac{14}{5}=2.8$$

Solution Steps

Convert 3 to fraction \frac{6}{2}.

$$\left(\frac{6}{2}+\frac{1}{2}\right)\times \frac{4}{5}$$

Since \frac{6}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{6+1}{2}\times \frac{4}{5}$$

Add 6 and 1 to get 7.

$$\frac{7}{2}\times \frac{4}{5}$$

Multiply \frac{7}{2} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 4}{2\times 5}$$

Do the multiplications in the fraction \frac{7\times 4}{2\times 5}.

$$\frac{28}{10}$$

Reduce the fraction \frac{28}{10} to lowest terms by extracting and canceling out 2.

$$\frac{14}{5}$$

Factor

$$\frac{2 \cdot 7}{5} = 2\frac{4}{5} = 2.8$$