# A red candle is 11 2/5 inches tall. The label claims that the candle will melt 1 1/8 inch every hour it burns. If the label is correct, for how many hours will the candle burn?

Aug 1, 2017

$10 \frac{2}{15}$ hours

$= 10 \text{ hours} \mathmr{and} 8$ minutes

#### Explanation:

Change both fractions to improper fractions and then divide.

$11 \frac{2}{5} \div 1 \frac{1}{8} = \frac{\frac{57}{5}}{\frac{9}{8}}$

Multiply the denominator and numerator by the inverse of $\frac{9}{8}$ which is $\frac{8}{9}$

$\frac{\left(\frac{57}{5}\right) \times \left(\frac{8}{9}\right)}{\left(\frac{9}{8}\right) \times \left(\frac{8}{9}\right)} = \frac{\left(\frac{57}{5}\right) \times \left(\frac{8}{9}\right)}{1}$

$\frac{57}{5} \times \frac{8}{9} = \frac{456}{45}$

Answer as a mixed number because that is the form that was given.

$\frac{456}{45} = 10 \frac{2}{15}$ hours