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

$$\frac { 1 } { 2 } ( \frac { 3 } { 4 } \cdot \frac { 2 } { 5 } ) + 2 =$$

Evaluate

$$\frac{43}{20}=2.15$$

Solution Steps

Multiply \frac{1}{2} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 3}{2\times 4}\times \frac{2}{5}+2$$

Do the multiplications in the fraction \frac{1\times 3}{2\times 4}.

$$\frac{3}{8}\times \frac{2}{5}+2$$

Multiply \frac{3}{8} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 2}{8\times 5}+2$$

Do the multiplications in the fraction \frac{3\times 2}{8\times 5}.

$$\frac{6}{40}+2$$

Reduce the fraction \frac{6}{40} to lowest terms by extracting and canceling out 2.

$$\frac{3}{20}+2$$

Convert 2 to fraction \frac{40}{20}.

$$\frac{3}{20}+\frac{40}{20}$$

Since \frac{3}{20} and \frac{40}{20} have the same denominator, add them by adding their numerators.

$$\frac{3+40}{20}$$

Add 3 and 40 to get 43.

$$\frac{43}{20}$$

Factor

$$\frac{43}{2 ^ {2} \cdot 5} = 2\frac{3}{20} = 2.15$$