Question

this week, tessa biked $4\frac{1}{2}$ miles on tuesday, $5\frac{1}{2}$ miles on friday, and $6\frac{1}{2}$ miles on saturday. how far did she bike in all this week? \\(\frac{\boxed{1}}{\boxed{}}\\) miles

Explanation:

Step1: Convert mixed numbers to improper fractions

\(4\frac{1}{2}=\frac{4\times2 + 1}{2}=\frac{9}{2}\)
\(5\frac{1}{2}=\frac{5\times2 + 1}{2}=\frac{11}{2}\)
\(6\frac{1}{2}=\frac{6\times2 + 1}{2}=\frac{13}{2}\)

Step2: Add the fractions

\(\frac{9}{2}+\frac{11}{2}+\frac{13}{2}=\frac{9 + 11 + 13}{2}=\frac{33}{2}\)

Step3: Convert back to mixed number (optional, but the problem might expect it)

\(\frac{33}{2}=16\frac{1}{2}\)

Answer:

\(16\frac{1}{2}\) (or \(\frac{33}{2}\))