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 (optional, but add fractions)

The first distance is \(1\frac{3}{10}\) miles, which is \(\frac{1\times10 + 3}{10}=\frac{13}{10}\) miles. The second distance is \(\frac{4}{10}\) miles.

Step2: Add the two fractions

To find the total distance, we add \(\frac{13}{10}+\frac{4}{10}\). Since the denominators are the same, we add the numerators: \(\frac{13 + 4}{10}=\frac{17}{10}\).

Step3: Convert improper fraction to mixed number

Now, convert \(\frac{17}{10}\) to a mixed number. Divide 17 by 10: \(17\div10 = 1\) with a remainder of 7. So, \(\frac{17}{10}=1\frac{7}{10}\).

Answer:

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