Question

eliza bikes $1\frac{3}{10}$ miles to the store. then she bikes $\frac{4}{10}$ mile to the library.
what is the total distance eliza bikes? write your answer as a mixed number.
$1\frac{7}{10}$ miles
after she leaves the library, eliza bikes $\frac{2}{10}$ mile to the post office.
now, what is the total distance eliza bikes? write your answer as a mixed number.
$?\frac{?}{?}$ miles

Explanation:

Step1: Recall the previous total distance

From the first part, the total distance to the library was \(1\frac{7}{10}\) miles. Now we need to add the distance to the post office, which is \(\frac{2}{10}\) mile. First, convert the mixed number to an improper fraction. \(1\frac{7}{10}=\frac{1\times10 + 7}{10}=\frac{17}{10}\).

Step2: Add the new distance

Now add \(\frac{2}{10}\) to \(\frac{17}{10}\). So \(\frac{17}{10}+\frac{2}{10}=\frac{17 + 2}{10}=\frac{19}{10}\).

Step3: Convert back to mixed number

Convert \(\frac{19}{10}\) to a mixed number. \(19\div10 = 1\) with a remainder of \(9\), so \(\frac{19}{10}=1\frac{9}{10}\).

Answer:

\(1\frac{9}{10}\)