Solve 15/4-5/2*7/5

$$\frac { 15 } { 4 } - \frac { 5 } { 2 } \times \frac { 7 } { 5 }$$

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

Multiply \frac{5}{2} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15}{4}-\frac{5\times 7}{2\times 5}$$

Cancel out 5 in both numerator and denominator.

$$\frac{15}{4}-\frac{7}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{15}{4} and \frac{7}{2} to fractions with denominator 4.

$$\frac{15}{4}-\frac{14}{4}$$

Since \frac{15}{4} and \frac{14}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-14}{4}$$

Subtract 14 from 15 to get 1.

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

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$