Solve 1/10+3/4*2/3

$$\frac{ 1 }{ 10 } + \frac{ 3 }{ 4 } \times \frac{ 2 }{ 3 }$$

Evaluate

$$\frac{3}{5}=0.6$$

Solution Steps

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

$$\frac{1}{10}+\frac{3\times 2}{4\times 3}$$

Cancel out 3 in both numerator and denominator.

$$\frac{1}{10}+\frac{2}{4}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1}{10}+\frac{1}{2}$$

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

$$\frac{1}{10}+\frac{5}{10}$$

Since \frac{1}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$\frac{1+5}{10}$$

Add 1 and 5 to get 6.

$$\frac{6}{10}$$

Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3}{5}$$

Factor

$$\frac{3}{5} = 0.6$$