Question
Think about converting 48% to an equivalent fraction in reduced form. If the denominator is 25, what is the numerator?
48% = StartFraction 48 Over 100 EndFraction = StartFraction a Over 25 EndFraction
a =
Answers
GPT-4o mini
To convert 48% to an equivalent fraction with a denominator of 25, we first express it as a fraction:
\[
48\% = \frac{48}{100}
\]
Next, we set up the equation:
\[
\frac{48}{100} = \frac{a}{25}
\]
To find \(a\), we can use cross-multiplication:
\[
48 \times 25 = 100 \times a
\]
Calculating \(48 \times 25\):
\[
48 \times 25 = 1200
\]
So we have:
\[
1200 = 100a
\]
Now, divide both sides by 100 to solve for \(a\):
\[
a = \frac{1200}{100} = 12
\]
Thus, the numerator \(a\) is
\[
\boxed{12}
\]
\[
48\% = \frac{48}{100}
\]
Next, we set up the equation:
\[
\frac{48}{100} = \frac{a}{25}
\]
To find \(a\), we can use cross-multiplication:
\[
48 \times 25 = 100 \times a
\]
Calculating \(48 \times 25\):
\[
48 \times 25 = 1200
\]
So we have:
\[
1200 = 100a
\]
Now, divide both sides by 100 to solve for \(a\):
\[
a = \frac{1200}{100} = 12
\]
Thus, the numerator \(a\) is
\[
\boxed{12}
\]