Solve 9/24-21/19*57/96

$$\frac { 9 } { 24 } - \frac { 21 } { 19 } \cdot \frac { 57 } { 96 }$$

Evaluate

$$-\frac{9}{32}=-0.28125$$

Solution Steps

Reduce the fraction \frac{9}{24} to lowest terms by extracting and canceling out 3.

$$\frac{3}{8}-\frac{21}{19}\times \frac{57}{96}$$

Reduce the fraction \frac{57}{96} to lowest terms by extracting and canceling out 3.

$$\frac{3}{8}-\frac{21}{19}\times \frac{19}{32}$$

Multiply \frac{21}{19} times \frac{19}{32} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{8}-\frac{21\times 19}{19\times 32}$$

Cancel out 19 in both numerator and denominator.

$$\frac{3}{8}-\frac{21}{32}$$

Least common multiple of 8 and 32 is 32. Convert \frac{3}{8} and \frac{21}{32} to fractions with denominator 32.

$$\frac{12}{32}-\frac{21}{32}$$

Since \frac{12}{32} and \frac{21}{32} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-21}{32}$$

Subtract 21 from 12 to get -9.

$$-\frac{9}{32}$$

Factor

$$-\frac{9}{32} = -0.28125$$