Question
Lena has yellow tile on \( \frac{1}{4} \) of her kitchen oor. Write another fraction equivalent to \( \frac{1}{4} \). Solve th roblem any way you choose.
Ask by Reyes Frank. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Another fraction equivalent to \( \frac{1}{4} \) is \( \frac{2}{8} \).
Solution
To find another fraction equivalent to \( \frac{1}{4} \), we can multiply both the numerator and the denominator by the same non-zero integer.
Let's choose the integer \( 2 \) for this example:
1. Multiply the numerator \( 1 \) by \( 2 \):
\[
1 \times 2 = 2
\]
2. Multiply the denominator \( 4 \) by \( 2 \):
\[
4 \times 2 = 8
\]
Now we can form the new fraction:
\[
\frac{1 \times 2}{4 \times 2} = \frac{2}{8}
\]
Thus, \( \frac{2}{8} \) is an equivalent fraction to \( \frac{1}{4} \).
To verify, we can simplify \( \frac{2}{8} \):
- Divide both the numerator and the denominator by \( 2 \):
\[
\frac{2 \div 2}{8 \div 2} = \frac{1}{4}
\]
This confirms that \( \frac{2}{8} \) is indeed equivalent to \( \frac{1}{4} \).
In conclusion, another fraction equivalent to \( \frac{1}{4} \) is \( \frac{2}{8} \).
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
One way to find an equivalent fraction to \( \frac{1}{4} \) is to multiply both the numerator and the denominator by the same number. For example, if we multiply both by 2, we get \( \frac{1 \times 2}{4 \times 2} = \frac{2}{8} \). So, \( \frac{2}{8} \) is an equivalent fraction to \( \frac{1}{4} \). Another fun method is to visualize a pizza! If you slice a pizza into 4 equal pieces and take one slice, you've got \( \frac{1}{4} \) of the pizza. If instead, you decide to slice it into 8 equal pieces, then taking 2 slices means you still have the same amount of pizza—\( \frac{2}{8} \). It’s all about how you divide the whole!
