Question

If $3
out of every $21
Jerry earns goes toward his car expense, what fraction is equivalent to the fraction that expresses how much of Jerry's money goes towards his car expense?

(Hint: these numbers can be substituted in the fraction as the numerator and denominator in the above slider activity.)

Answer 1

To find the fraction that expresses how much of Jerry's money goes towards his car expense, we can use the numbers provided:

Jerry earns \(3\) dollars, and out of every \(21\) dollars he earns, \(3\) dollars go towards his car expenses. Therefore, we can set up the fraction as follows:

\[
\text{Fraction for car expense} = \frac{\text{Amount spent on car expense}}{\text{Total amount earned}} = \frac{3}{21}
\]

Next, we simplify the fraction \( \frac{3}{21} \).

To simplify, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is \(3\):

\[
\frac{3 \div 3}{21 \div 3} = \frac{1}{7}
\]

Thus, the fraction equivalent to the fraction that expresses how much of Jerry's money goes towards his car expense is

\[
\boxed{\frac{1}{7}}.
\]