Question

follow the three clues to find a hidden treasure. use the number line showing eighths to help.
clue 3: start at $2\frac{5}{8}$. move $\frac{7}{8}$ to the right.
complete the equation to show your new location as a mixed number.
$2\frac{5}{8}+\frac{7}{8}=\boxed{?}\frac{\boxed{?}}{\boxed{?}}$

Explanation:

Step1: Add the fractions

First, add the fractional parts: $\frac{5}{8} + \frac{7}{8} = \frac{12}{8}$.

Step2: Simplify the fraction and add to the whole number

Simplify $\frac{12}{8}$ to $1\frac{4}{8}$ (or $1\frac{1}{2}$, but we'll keep it with denominator 8 for now). Then add to the whole number part: $2 + 1\frac{4}{8} = 3\frac{4}{8}$. We can also simplify $\frac{4}{8}$ to $\frac{1}{2}$, but since the problem might expect denominator 8, we can write it as $3\frac{4}{8}$ (or further simplify $\frac{12}{8}$ first: $\frac{12}{8} = 1\frac{4}{8}$, so $2 + 1\frac{4}{8} = 3\frac{4}{8}$). Alternatively, when adding the mixed number and the fraction, we can convert the mixed number to an improper fraction: $2\frac{5}{8} = \frac{21}{8}$, then $\frac{21}{8} + \frac{7}{8} = \frac{28}{8} = 3\frac{4}{8}$ (since $\frac{28}{8} = 3 + \frac{4}{8}$).

Answer:

$2\frac{5}{8}+\frac{7}{8}=\boldsymbol{3}\frac{\boldsymbol{4}}{\boldsymbol{8}}$ (or $3\frac{1}{2}$ if simplifying $\frac{4}{8}$, but based on the number line with eighths, $3\frac{4}{8}$ is appropriate here)