Solve 1/2*frac{1{10}+1/2*10}

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

Evaluate

$$4$$

Solution Steps

Multiply 2 and \frac{1}{10} to get \frac{2}{10}.

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

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

$$\frac{1}{\frac{1}{5}+\frac{1}{2\times 10}}$$

Multiply 2 and 10 to get 20.

$$\frac{1}{\frac{1}{5}+\frac{1}{20}}$$

Least common multiple of 5 and 20 is 20. Convert \frac{1}{5} and \frac{1}{20} to fractions with denominator 20.

$$\frac{1}{\frac{4}{20}+\frac{1}{20}}$$

Since \frac{4}{20} and \frac{1}{20} have the same denominator, add them by adding their numerators.

$$\frac{1}{\frac{4+1}{20}}$$

Add 4 and 1 to get 5.

$$\frac{1}{\frac{5}{20}}$$

Reduce the fraction \frac{5}{20} to lowest terms by extracting and canceling out 5.

$$\frac{1}{\frac{1}{4}}$$

Divide 1 by \frac{1}{4} by multiplying 1 by the reciprocal of \frac{1}{4}.

$$1\times 4$$

Multiply 1 and 4 to get 4.

$$4$$

Factor

$$2^{2}$$