Solve 3(54/9-65/18)

$$3 ( 5 \frac { 4 } { 9 } - 6 \frac { 5 } { 18 } )$$

Evaluate

$$-\frac{5}{2}=-2.5$$

Solution Steps

Multiply 5 and 9 to get 45.

$$3\left(\frac{45+4}{9}-\frac{6\times 18+5}{18}\right)$$

Add 45 and 4 to get 49.

$$3\left(\frac{49}{9}-\frac{6\times 18+5}{18}\right)$$

Multiply 6 and 18 to get 108.

$$3\left(\frac{49}{9}-\frac{108+5}{18}\right)$$

Add 108 and 5 to get 113.

$$3\left(\frac{49}{9}-\frac{113}{18}\right)$$

Least common multiple of 9 and 18 is 18. Convert \frac{49}{9} and \frac{113}{18} to fractions with denominator 18.

$$3\left(\frac{98}{18}-\frac{113}{18}\right)$$

Since \frac{98}{18} and \frac{113}{18} have the same denominator, subtract them by subtracting their numerators.

$$3\times \frac{98-113}{18}$$

Subtract 113 from 98 to get -15.

$$3\times \frac{-15}{18}$$

Reduce the fraction \frac{-15}{18} to lowest terms by extracting and canceling out 3.

$$3\left(-\frac{5}{6}\right)$$

Express 3\left(-\frac{5}{6}\right) as a single fraction.

$$\frac{3\left(-5\right)}{6}$$

Multiply 3 and -5 to get -15.

$$\frac{-15}{6}$$

Reduce the fraction \frac{-15}{6} to lowest terms by extracting and canceling out 3.

$$-\frac{5}{2}$$

Factor

$$-\frac{5}{2} = -2\frac{1}{2} = -2.5$$