Solve 4/52+4/52-(4/524/52)

$$\frac{ 4 }{ 52 } + \frac{ 4 }{ 52 } -( \frac{ 4 }{ 52 } \frac{ 4 }{ 52 } )$$

Evaluate

$$\frac{25}{169}\approx 0.147928994$$

Solution Steps

Multiply \frac{4}{52} and \frac{4}{52} to get \left(\frac{4}{52}\right)^{2}.

$$\frac{4}{52}+\frac{4}{52}-\left(\frac{4}{52}\right)^{2}$$

Reduce the fraction \frac{4}{52} to lowest terms by extracting and canceling out 4.

$$\frac{1}{13}+\frac{4}{52}-\left(\frac{4}{52}\right)^{2}$$

Reduce the fraction \frac{4}{52} to lowest terms by extracting and canceling out 4.

$$\frac{1}{13}+\frac{1}{13}-\left(\frac{4}{52}\right)^{2}$$

Since \frac{1}{13} and \frac{1}{13} have the same denominator, add them by adding their numerators.

$$\frac{1+1}{13}-\left(\frac{4}{52}\right)^{2}$$

Add 1 and 1 to get 2.

$$\frac{2}{13}-\left(\frac{4}{52}\right)^{2}$$

Reduce the fraction \frac{4}{52} to lowest terms by extracting and canceling out 4.

$$\frac{2}{13}-\left(\frac{1}{13}\right)^{2}$$

Calculate \frac{1}{13} to the power of 2 and get \frac{1}{169}.

$$\frac{2}{13}-\frac{1}{169}$$

Least common multiple of 13 and 169 is 169. Convert \frac{2}{13} and \frac{1}{169} to fractions with denominator 169.

$$\frac{26}{169}-\frac{1}{169}$$

Since \frac{26}{169} and \frac{1}{169} have the same denominator, subtract them by subtracting their numerators.

$$\frac{26-1}{169}$$

Subtract 1 from 26 to get 25.

$$\frac{25}{169}$$

Factor

$$\frac{5 ^ {2}}{13 ^ {2}} = 0.14792899408284024$$