Question

there are 26.2 miles in a marathon. write the number of miles using a fraction.

Explanation:

Step1: Convert decimal to fraction

The decimal is \(26.2\), which can be written as \(26 + 0.2\). The \(0.2\) is equivalent to \(\frac{2}{10}\) (since \(0.2=\frac{2}{10}\)).

Step2: Simplify the fraction part and combine

Simplify \(\frac{2}{10}\) to \(\frac{1}{5}\). Then \(26.2 = 26+\frac{1}{5}=\frac{26\times5 + 1}{5}=\frac{130 + 1}{5}=\frac{131}{5}\) (or we can also consider \(26.2=\frac{262}{10}\), and simplifying \(\frac{262}{10}\) by dividing numerator and denominator by 2 gives \(\frac{131}{5}\)).

Answer:

\(\frac{131}{5}\) (or \(\frac{262}{10}\) before simplification, but \(\frac{131}{5}\) is the simplified form)