Solve 1/2+[1/3*1/10div1/6]

$$\frac { 1 } { 2 } + [ \frac { 1 } { 3 } \times \frac { 1 } { 10 } \div \frac { 1 } { 6 } ]$$

Evaluate

$$\frac{7}{10}=0.7$$

Solution Steps

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

$$\frac{1}{2}+\frac{\frac{1\times 1}{3\times 10}}{\frac{1}{6}}$$

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

$$\frac{1}{2}+\frac{\frac{1}{30}}{\frac{1}{6}}$$

Divide \frac{1}{30} by \frac{1}{6} by multiplying \frac{1}{30} by the reciprocal of \frac{1}{6}.

$$\frac{1}{2}+\frac{1}{30}\times 6$$

Multiply \frac{1}{30} and 6 to get \frac{6}{30}.

$$\frac{1}{2}+\frac{6}{30}$$

Reduce the fraction \frac{6}{30} to lowest terms by extracting and canceling out 6.

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

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

$$\frac{5}{10}+\frac{2}{10}$$

Since \frac{5}{10} and \frac{2}{10} have the same denominator, add them by adding their numerators.

$$\frac{5+2}{10}$$

Add 5 and 2 to get 7.

$$\frac{7}{10}$$

Factor

$$\frac{7}{2 \cdot 5} = 0.7$$