Solve 3/2-27*2/56

$$\frac{ 3 }{ 2 } - \frac{ 27 \times 2 }{ 56 }$$

Evaluate

$$\frac{15}{28}\approx 0.535714286$$

Solution Steps

Multiply 27 and 2 to get 54.

$$\frac{3}{2}-\frac{54}{56}$$

Reduce the fraction \frac{54}{56} to lowest terms by extracting and canceling out 2.

$$\frac{3}{2}-\frac{27}{28}$$

Least common multiple of 2 and 28 is 28. Convert \frac{3}{2} and \frac{27}{28} to fractions with denominator 28.

$$\frac{42}{28}-\frac{27}{28}$$

Since \frac{42}{28} and \frac{27}{28} have the same denominator, subtract them by subtracting their numerators.

$$\frac{42-27}{28}$$

Subtract 27 from 42 to get 15.

$$\frac{15}{28}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {2} \cdot 7} = 0.5357142857142857$$