Question

4b follow the three clues to find a hidden treasure. use the number line showing eighths to help. 4b clue 1: start at 2. move \\(\frac{3}{8}\\) to the right. 4b complete the equation to show your new location as a mixed number. \\(2 + \frac{3}{8} = \boxed{?} \frac{?}{?}\\)

Explanation:

Step1: Add the whole number and the fraction

We start with \(2+\frac{3}{8}\). A whole number can be written as a fraction with denominator 1, so \(2=\frac{16}{8}\) (since \(2\times8 = 16\)). Then we add \(\frac{16}{8}+\frac{3}{8}=\frac{19}{8}\). But we need to express this as a mixed number. To convert an improper fraction to a mixed number, we divide the numerator by the denominator. \(19\div8 = 2\) with a remainder of \(3\) (because \(8\times2 = 16\) and \(19 - 16 = 3\)). So the mixed number is \(2\frac{3}{8}\).

Step2: Identify the parts of the mixed number

In the mixed number \(2\frac{3}{8}\), the whole number part is \(2\), the numerator of the fractional part is \(3\), and the denominator of the fractional part is \(8\).

Answer:

\(2+\frac{3}{8}=\boxed{2}\frac{\boxed{3}}{\boxed{8}}\)