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Travis read
(1)/(2) of his book on Sunday and
(1)/(8) of his book on Monday. How much of his book has he read in all?
Give your answer in simplest form.

Travis read $\frac{1}{2}$ of his book on Sunday and $\frac{1}{8}$ of his book on Monday. How much of his book has he read in all? $\newline$ Give your answer in simplest form.

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Add and subtract rational numbers: word problems

Full solution

Q. Travis read

\frac{1}{2}

of his book on Sunday and

\frac{1}{8}

of his book on Monday. How much of his book has he read in all?

\newline

Give your answer in simplest form.

Identify fractions read: Identify the fractions of the book read on Sunday and Monday. $\newline$ Travis read $\frac{1}{2}$ of his book on Sunday and $\frac{1}{8}$ of his book on Monday. To find out how much he has read in total, we need to add these two fractions together.
Add fractions: Add the fractions $\frac{1}{2}$ and $\frac{1}{8}$ . $\newline$ Since the denominators are different, we need to find a common denominator before we can add the fractions. The least common denominator (LCD) for $2$ and $8$ is $8$ .
Convert to common denominator: Convert the fraction $\frac{1}{2}$ to have the common denominator of $8$ . $\frac{1}{2}$ is equivalent to $\frac{4}{8}$ because $1 \times 4 = 4$ and $2 \times 4 = 8$ .
Add converted fractions: Add the converted fraction $\frac{4}{8}$ to $\frac{1}{8}$ . $\newline$ Now that both fractions have the same denominator, we can add them directly. $\newline$ $\frac{4}{8} + \frac{1}{8} = \frac{(4 + 1)}{8}$ $\newline$ = $\frac{5}{8}$
Simplify fraction: Simplify the fraction if necessary. $\newline$ The fraction $\frac{5}{8}$ is already in its simplest form, so no further simplification is needed.

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