Solve 3/2+1/3*6/5

$$\frac{ 3 }{ 2 } + \frac{ 1 }{ 3 } \times \frac{ 6 }{ 5 }$$

Evaluate

$$\frac{19}{10}=1.9$$

Solution Steps

Multiply \frac{1}{3} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{2}+\frac{1\times 6}{3\times 5}$$

Do the multiplications in the fraction \frac{1\times 6}{3\times 5}.

$$\frac{3}{2}+\frac{6}{15}$$

Reduce the fraction \frac{6}{15} to lowest terms by extracting and canceling out 3.

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

Least common multiple of 2 and 5 is 10. Convert \frac{3}{2} and \frac{2}{5} to fractions with denominator 10.

$$\frac{15}{10}+\frac{4}{10}$$

Since \frac{15}{10} and \frac{4}{10} have the same denominator, add them by adding their numerators.

$$\frac{15+4}{10}$$

Add 15 and 4 to get 19.

$$\frac{19}{10}$$

Factor

$$\frac{19}{2 \cdot 5} = 1\frac{9}{10} = 1.9$$