Solve 5/5*1/5*1/2-(2*1/25-1)*frac{1}{2}

$$\frac { 5 } { 5 } \times \frac { 1 } { 5 } \times \frac { 1 } { 2 } - ( 2 \cdot \frac { 1 } { 25 } - 1 ) \cdot \frac { 1 } { 2 }$$

Evaluate

$$\frac{14}{25}=0.56$$

Solution Steps

Divide 5 by 5 to get 1.

$$1\times \frac{1}{5}\times \frac{1}{2}-\left(2\times \frac{1}{25}-1\right)\times \frac{1}{2}$$

Multiply 1 and \frac{1}{5} to get \frac{1}{5}.

$$\frac{1}{5}\times \frac{1}{2}-\left(2\times \frac{1}{25}-1\right)\times \frac{1}{2}$$

Multiply \frac{1}{5} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{5\times 2}-\left(2\times \frac{1}{25}-1\right)\times \frac{1}{2}$$

Do the multiplications in the fraction \frac{1\times 1}{5\times 2}.

$$\frac{1}{10}-\left(2\times \frac{1}{25}-1\right)\times \frac{1}{2}$$

Multiply 2 and \frac{1}{25} to get \frac{2}{25}.

$$\frac{1}{10}-\left(\frac{2}{25}-1\right)\times \frac{1}{2}$$

Convert 1 to fraction \frac{25}{25}.

$$\frac{1}{10}-\left(\frac{2}{25}-\frac{25}{25}\right)\times \frac{1}{2}$$

Since \frac{2}{25} and \frac{25}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{10}-\frac{2-25}{25}\times \frac{1}{2}$$

Subtract 25 from 2 to get -23.

$$\frac{1}{10}-\left(-\frac{23}{25}\times \frac{1}{2}\right)$$

Multiply -\frac{23}{25} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{10}-\frac{-23}{25\times 2}$$

Do the multiplications in the fraction \frac{-23}{25\times 2}.

$$\frac{1}{10}-\frac{-23}{50}$$

Fraction \frac{-23}{50} can be rewritten as -\frac{23}{50} by extracting the negative sign.

$$\frac{1}{10}-\left(-\frac{23}{50}\right)$$

The opposite of -\frac{23}{50} is \frac{23}{50}.

$$\frac{1}{10}+\frac{23}{50}$$

Least common multiple of 10 and 50 is 50. Convert \frac{1}{10} and \frac{23}{50} to fractions with denominator 50.

$$\frac{5}{50}+\frac{23}{50}$$

Since \frac{5}{50} and \frac{23}{50} have the same denominator, add them by adding their numerators.

$$\frac{5+23}{50}$$

Add 5 and 23 to get 28.

$$\frac{28}{50}$$

Reduce the fraction \frac{28}{50} to lowest terms by extracting and canceling out 2.

$$\frac{14}{25}$$

Factor

$$\frac{2 \cdot 7}{5 ^ {2}} = 0.56$$