Solve 4/25*3/4-1/50

$$\frac { 4 } { 25 } \times \frac { 3 } { 4 } - \frac { 1 } { 50 }$$

Evaluate

$$\frac{1}{10}=0.1$$

Solution Steps

Multiply \frac{4}{25} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 3}{25\times 4}-\frac{1}{50}$$

Cancel out 4 in both numerator and denominator.

$$\frac{3}{25}-\frac{1}{50}$$

Least common multiple of 25 and 50 is 50. Convert \frac{3}{25} and \frac{1}{50} to fractions with denominator 50.

$$\frac{6}{50}-\frac{1}{50}$$

Since \frac{6}{50} and \frac{1}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-1}{50}$$

Subtract 1 from 6 to get 5.

$$\frac{5}{50}$$

Reduce the fraction \frac{5}{50} to lowest terms by extracting and canceling out 5.

$$\frac{1}{10}$$

Factor

$$\frac{1}{2 \cdot 5} = 0.1$$