Solve 3/2-227/56

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

Evaluate

$$-\frac{55}{56}\approx -0.982142857$$

Solution Steps

Multiply 2 and 56 to get 112.

$$\frac{3}{2}-\frac{112+27}{56}$$

Add 112 and 27 to get 139.

$$\frac{3}{2}-\frac{139}{56}$$

Least common multiple of 2 and 56 is 56. Convert \frac{3}{2} and \frac{139}{56} to fractions with denominator 56.

$$\frac{84}{56}-\frac{139}{56}$$

Since \frac{84}{56} and \frac{139}{56} have the same denominator, subtract them by subtracting their numerators.

$$\frac{84-139}{56}$$

Subtract 139 from 84 to get -55.

$$-\frac{55}{56}$$

Factor

$$-\frac{55}{56} = -0.9821428571428571$$