Solve 1/5+3/2*7/3

$$\frac{ 1 }{ 5 } + \frac{ 3 }{ 2 } \times \frac{ 7 }{ 3 }$$

Evaluate

$$\frac{37}{10}=3.7$$

Solution Steps

Multiply \frac{3}{2} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{5}+\frac{3\times 7}{2\times 3}$$

Cancel out 3 in both numerator and denominator.

$$\frac{1}{5}+\frac{7}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{1}{5} and \frac{7}{2} to fractions with denominator 10.

$$\frac{2}{10}+\frac{35}{10}$$

Since \frac{2}{10} and \frac{35}{10} have the same denominator, add them by adding their numerators.

$$\frac{2+35}{10}$$

Add 2 and 35 to get 37.

$$\frac{37}{10}$$

Factor

$$\frac{37}{2 \cdot 5} = 3\frac{7}{10} = 3.7$$