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Traci spent
(1)/(3) hour eating breakfast and
(1)/(6) hour helping clean up after breakfast. How much time did she spend in all?
Give your answer in simplest form.

Traci spent $\frac{1}{3}$ hour eating breakfast and $\frac{1}{6}$ hour helping clean up after breakfast. How much time did she spend in all? $\newline$ Give your answer in simplest form.

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Add and subtract decimals: word problems

Full solution

Q. Traci spent

\frac{1}{3}

hour eating breakfast and

\frac{1}{6}

hour helping clean up after breakfast. How much time did she spend in all?

\newline

Give your answer in simplest form.

Identify fractions of time: Identify the fractions of time spent on each activity. Traci spent $\frac{1}{3}$ hour eating breakfast and $\frac{1}{6}$ hour helping clean up.
Add fractions for total time: Add the fractions to find the total time spent. $\newline$ To add fractions, they must have a common denominator. The least common denominator (LCD) for $3$ and $6$ is $6$ . $\newline$ Convert $\frac{1}{3}$ to a fraction with a denominator of $6$ by multiplying both the numerator and denominator by $2$ . $\newline$ $\frac{1}{3} \times \left(\frac{2}{2}\right) = \frac{2}{6}$ $\newline$ Now, add the two fractions. $\newline$ $\frac{2}{6}$ (time spent eating breakfast) + $\frac{1}{6}$ (time spent cleaning up) = $\frac{3}{6}$
Simplify the fraction: Simplify the fraction. $\frac{3}{6}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $3$ . $\frac{3}{6} \div \left(\frac{3}{3}\right) = \frac{1}{2}$
Check final answer: Check the final answer. $\frac{1}{2}$ hour is the simplified form of $\frac{3}{6}$ hour, which is the total time Traci spent on breakfast and cleaning up.

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