Question

Natalie ran 0.36 of the way to school and walked the rest.
how far did she WALK written as a fraction in simplest form?

Answer 1

If Natalie ran \( \frac{36}{100} \) of the way to school, we can simplify this fraction.

1. The greatest common divisor of 36 and 100 is 4.
2. Dividing both the numerator and denominator by 4 gives:

\[
\frac{36 \div 4}{100 \div 4} = \frac{9}{25}
\]

This means Natalie ran \( \frac{9}{25} \) of the way to school.

To find out how much of the way she walked, we need to subtract the distance she ran from the whole distance (which is represented as 1):

\[
1 - \frac{9}{25}
\]

To perform this subtraction, we express 1 as a fraction with a denominator of 25:

\[
1 = \frac{25}{25}
\]

Now we can subtract:

\[
\frac{25}{25} - \frac{9}{25} = \frac{25 - 9}{25} = \frac{16}{25}
\]

Thus, the fraction of the distance Natalie walked is:

\[
\frac{16}{25}
\]

So, Natalie walked \( \frac{16}{25} \) of the way to school.