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. ? ? miles ?

Explanation:

Step1: Convert mixed number to improper fraction

The distance to the store is \(1\frac{3}{10}\) miles. Converting this mixed number to an improper fraction, we have \(1\frac{3}{10}=\frac{1\times10 + 3}{10}=\frac{13}{10}\) miles.

Step2: Add the two distances

The distance to the library is \(\frac{4}{10}\) miles. To find the total distance, we add the two distances: \(\frac{13}{10}+\frac{4}{10}=\frac{13 + 4}{10}=\frac{17}{10}\) miles.

Step3: Convert back to mixed number

Now, we convert \(\frac{17}{10}\) back to a mixed number. Dividing 17 by 10, we get a quotient of 1 and a remainder of 7. So, \(\frac{17}{10}=1\frac{7}{10}\) miles.

Answer:

\(1\frac{7}{10}\)