Question
In a science experiment, a plant grew \( \frac{3}{4} \) inch one week and \( \frac{1}{2} \) inch the next week Use a common denominator to write an equivalent fraction for each fraction.
Ask by Chang Coles. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The equivalent fractions with a common denominator of 4 are \( \frac{3}{4} \) and \( \frac{2}{4} \).
Solution
To find the equivalent fractions with a common denominator for the fractions \( \frac{3}{4} \) and \( \frac{1}{2} \), we need to determine the least common multiple (LCM) of the denominators 4 and 2.
The LCM of 4 and 2 is 4.
Now, we can rewrite the fractions with the common denominator of 4:
\( \frac{3}{4} \) remains the same as it already has a denominator of 4.
\( \frac{1}{2} \) can be rewritten as \( \frac{2}{4} \) since the denominator is 4.
Therefore, the equivalent fractions with a common denominator of 4 are \( \frac{3}{4} \) and \( \frac{2}{4} \).
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Simplify this solution Bonus Knowledge
To find a common denominator for \( \frac{3}{4} \) and \( \frac{1}{2} \), we can use 4, as it is the least common multiple of the denominators. The fraction \( \frac{1}{2} \) can be converted to an equivalent fraction with the denominator of 4 by multiplying both the numerator and denominator by 2. This gives us \( \frac{2}{4} \). Now we have \( \frac{3}{4} \) and \( \frac{2}{4} \). So, the equivalent fractions are: - \( \frac{3}{4} \) - \( \frac{2}{4} \)
