Solve 3/8*191/3-3/8*331/3

$$\frac { 3 } { 8 } \cdot 19 \frac { 1 } { 3 } - \frac { 3 } { 8 } \cdot 33 \frac { 1 } { 3 }$$

Evaluate

$$-\frac{21}{4}=-5.25$$

Solution Steps

Multiply 19 and 3 to get 57.

$$\frac{3}{8}\times \frac{57+1}{3}-\frac{3}{8}\times \frac{33\times 3+1}{3}$$

Add 57 and 1 to get 58.

$$\frac{3}{8}\times \frac{58}{3}-\frac{3}{8}\times \frac{33\times 3+1}{3}$$

Multiply \frac{3}{8} times \frac{58}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 58}{8\times 3}-\frac{3}{8}\times \frac{33\times 3+1}{3}$$

Cancel out 3 in both numerator and denominator.

$$\frac{58}{8}-\frac{3}{8}\times \frac{33\times 3+1}{3}$$

Reduce the fraction \frac{58}{8} to lowest terms by extracting and canceling out 2.

$$\frac{29}{4}-\frac{3}{8}\times \frac{33\times 3+1}{3}$$

Multiply 33 and 3 to get 99.

$$\frac{29}{4}-\frac{3}{8}\times \frac{99+1}{3}$$

Add 99 and 1 to get 100.

$$\frac{29}{4}-\frac{3}{8}\times \frac{100}{3}$$

Multiply \frac{3}{8} times \frac{100}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{29}{4}-\frac{3\times 100}{8\times 3}$$

Cancel out 3 in both numerator and denominator.

$$\frac{29}{4}-\frac{100}{8}$$

Reduce the fraction \frac{100}{8} to lowest terms by extracting and canceling out 4.

$$\frac{29}{4}-\frac{25}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{29}{4} and \frac{25}{2} to fractions with denominator 4.

$$\frac{29}{4}-\frac{50}{4}$$

Since \frac{29}{4} and \frac{50}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{29-50}{4}$$

Subtract 50 from 29 to get -21.

$$-\frac{21}{4}$$

Factor

$$-\frac{21}{4} = -5\frac{1}{4} = -5.25$$