Solve (-1/6+15/9)*2.16

$$(- \frac{ 1 }{ 6 } + 1 \frac { 5 } { 9 } ) \times 2.16$$

Evaluate

$$3$$

Solution Steps

Multiply 1 and 9 to get 9.

$$\left(-\frac{1}{6}+\frac{9+5}{9}\right)\times 2.16$$

Add 9 and 5 to get 14.

$$\left(-\frac{1}{6}+\frac{14}{9}\right)\times 2.16$$

Least common multiple of 6 and 9 is 18. Convert -\frac{1}{6} and \frac{14}{9} to fractions with denominator 18.

$$\left(-\frac{3}{18}+\frac{28}{18}\right)\times 2.16$$

Since -\frac{3}{18} and \frac{28}{18} have the same denominator, add them by adding their numerators.

$$\frac{-3+28}{18}\times 2.16$$

Add -3 and 28 to get 25.

$$\frac{25}{18}\times 2.16$$

Convert decimal number 2.16 to fraction \frac{216}{100}. Reduce the fraction \frac{216}{100} to lowest terms by extracting and canceling out 4.

$$\frac{25}{18}\times \frac{54}{25}$$

Multiply \frac{25}{18} times \frac{54}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 54}{18\times 25}$$

Cancel out 25 in both numerator and denominator.

$$\frac{54}{18}$$

Divide 54 by 18 to get 3.

$$3$$

Factor

$$3$$