Solve 14/28quad4/20quad-15/25

$$\frac { 14 } { 28 } \quad \frac { 4 } { 20 } \quad - \frac { 15 } { 25 }$$

Evaluate

$$-\frac{1}{2}=-0.5$$

Solution Steps

Reduce the fraction \frac{14}{28} to lowest terms by extracting and canceling out 14.

$$\frac{1}{2}\times \frac{4}{20}-\frac{15}{25}$$

Reduce the fraction \frac{4}{20} to lowest terms by extracting and canceling out 4.

$$\frac{1}{2}\times \frac{1}{5}-\frac{15}{25}$$

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

$$\frac{1\times 1}{2\times 5}-\frac{15}{25}$$

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

$$\frac{1}{10}-\frac{15}{25}$$

Reduce the fraction \frac{15}{25} to lowest terms by extracting and canceling out 5.

$$\frac{1}{10}-\frac{3}{5}$$

Least common multiple of 10 and 5 is 10. Convert \frac{1}{10} and \frac{3}{5} to fractions with denominator 10.

$$\frac{1}{10}-\frac{6}{10}$$

Since \frac{1}{10} and \frac{6}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-6}{10}$$

Subtract 6 from 1 to get -5.

$$\frac{-5}{10}$$

Reduce the fraction \frac{-5}{10} to lowest terms by extracting and canceling out 5.

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

Factor

$$-\frac{1}{2} = -0.5$$