Solve 1/3left(3/2+3/5-2/2right)

$$\frac{ 1 }{ 3 } \left( \frac{ 3 }{ 2 } + \frac{ 3 }{ 5 } - \frac{ 2 }{ 2 } \right)$$

Evaluate

$$\frac{11}{30}\approx 0.366666667$$

Solution Steps

Divide 2 by 2 to get 1.

$$\frac{1}{3}\left(\frac{3}{2}+\frac{3}{5}-1\right)$$

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

$$\frac{1}{3}\left(\frac{15}{10}+\frac{6}{10}-1\right)$$

Since \frac{15}{10} and \frac{6}{10} have the same denominator, add them by adding their numerators.

$$\frac{1}{3}\left(\frac{15+6}{10}-1\right)$$

Add 15 and 6 to get 21.

$$\frac{1}{3}\left(\frac{21}{10}-1\right)$$

Convert 1 to fraction \frac{10}{10}.

$$\frac{1}{3}\left(\frac{21}{10}-\frac{10}{10}\right)$$

Since \frac{21}{10} and \frac{10}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{3}\times \frac{21-10}{10}$$

Subtract 10 from 21 to get 11.

$$\frac{1}{3}\times \frac{11}{10}$$

Multiply \frac{1}{3} times \frac{11}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 11}{3\times 10}$$

Do the multiplications in the fraction \frac{1\times 11}{3\times 10}.

$$\frac{11}{30}$$

Factor

$$\frac{11}{2 \cdot 3 \cdot 5} = 0.36666666666666664$$