Solve 1/2+11/3*1/10div1/6

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

Evaluate

$$\frac{13}{10}=1.3$$

Solution Steps

Multiply 1 and 3 to get 3.

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

Add 3 and 1 to get 4.

$$\frac{1}{2}+\frac{\frac{4}{3}\times \frac{1}{10}}{\frac{1}{6}}$$

Multiply \frac{4}{3} times \frac{1}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{2}+\frac{\frac{4\times 1}{3\times 10}}{\frac{1}{6}}$$

Do the multiplications in the fraction \frac{4\times 1}{3\times 10}.

$$\frac{1}{2}+\frac{\frac{4}{30}}{\frac{1}{6}}$$

Reduce the fraction \frac{4}{30} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}+\frac{\frac{2}{15}}{\frac{1}{6}}$$

Divide \frac{2}{15} by \frac{1}{6} by multiplying \frac{2}{15} by the reciprocal of \frac{1}{6}.

$$\frac{1}{2}+\frac{2}{15}\times 6$$

Express \frac{2}{15}\times 6 as a single fraction.

$$\frac{1}{2}+\frac{2\times 6}{15}$$

Multiply 2 and 6 to get 12.

$$\frac{1}{2}+\frac{12}{15}$$

Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.

$$\frac{1}{2}+\frac{4}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{4}{5} to fractions with denominator 10.

$$\frac{5}{10}+\frac{8}{10}$$

Since \frac{5}{10} and \frac{8}{10} have the same denominator, add them by adding their numerators.

$$\frac{5+8}{10}$$

Add 5 and 8 to get 13.

$$\frac{13}{10}$$

Factor

$$\frac{13}{2 \cdot 5} = 1\frac{3}{10} = 1.3$$