Solve 8/13*5/4-125%*3/13-3/13*frac{5}{4}

$$\frac{ 8 }{ 13 } \times \frac{ 5 }{ 4 } -125 \% \times \frac{ 3 }{ 13 } - \frac{ 3 }{ 13 } \times \frac{ 5 }{ 4 }$$

Evaluate

$$\frac{5}{26}\approx 0.192307692$$

Solution Steps

Multiply \frac{8}{13} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 5}{13\times 4}-\frac{125}{100}\times \frac{3}{13}-\frac{3}{13}\times \frac{5}{4}$$

Do the multiplications in the fraction \frac{8\times 5}{13\times 4}.

$$\frac{40}{52}-\frac{125}{100}\times \frac{3}{13}-\frac{3}{13}\times \frac{5}{4}$$

Reduce the fraction \frac{40}{52} to lowest terms by extracting and canceling out 4.

$$\frac{10}{13}-\frac{125}{100}\times \frac{3}{13}-\frac{3}{13}\times \frac{5}{4}$$

Reduce the fraction \frac{125}{100} to lowest terms by extracting and canceling out 25.

$$\frac{10}{13}-\frac{5}{4}\times \frac{3}{13}-\frac{3}{13}\times \frac{5}{4}$$

Multiply \frac{5}{4} times \frac{3}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10}{13}-\frac{5\times 3}{4\times 13}-\frac{3}{13}\times \frac{5}{4}$$

Do the multiplications in the fraction \frac{5\times 3}{4\times 13}.

$$\frac{10}{13}-\frac{15}{52}-\frac{3}{13}\times \frac{5}{4}$$

Least common multiple of 13 and 52 is 52. Convert \frac{10}{13} and \frac{15}{52} to fractions with denominator 52.

$$\frac{40}{52}-\frac{15}{52}-\frac{3}{13}\times \frac{5}{4}$$

Since \frac{40}{52} and \frac{15}{52} have the same denominator, subtract them by subtracting their numerators.

$$\frac{40-15}{52}-\frac{3}{13}\times \frac{5}{4}$$

Subtract 15 from 40 to get 25.

$$\frac{25}{52}-\frac{3}{13}\times \frac{5}{4}$$

Multiply \frac{3}{13} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25}{52}-\frac{3\times 5}{13\times 4}$$

Do the multiplications in the fraction \frac{3\times 5}{13\times 4}.

$$\frac{25}{52}-\frac{15}{52}$$

Since \frac{25}{52} and \frac{15}{52} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-15}{52}$$

Subtract 15 from 25 to get 10.

$$\frac{10}{52}$$

Reduce the fraction \frac{10}{52} to lowest terms by extracting and canceling out 2.

$$\frac{5}{26}$$

Factor

$$\frac{5}{2 \cdot 13} = 0.19230769230769232$$