Garrett Ford
06/02/2024 · Middle School
9 Write the pair of fractions as a pair of fractions with a common denominator. \( \frac{2}{5} \) and \( \frac{4}{6} \)
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Step-by-step Solution
To write the fractions \( \frac{2}{5} \) and \( \frac{4}{6} \) with a common denominator, we first need to find the least common denominator (LCD) of the two denominators, which are 5 and 6.
The multiples of 5 are: 5, 10, 15, 20, 25, 30, ...
The multiples of 6 are: 6, 12, 18, 24, 30, ...
The least common multiple of 5 and 6 is 30.
Now, we will convert each fraction to have a denominator of 30.
1. For \( \frac{2}{5} \):
\[
\frac{2}{5} = \frac{2 \times 6}{5 \times 6} = \frac{12}{30}
\]
2. For \( \frac{4}{6} \):
\[
\frac{4}{6} = \frac{4 \times 5}{6 \times 5} = \frac{20}{30}
\]
Now we have the pair of fractions with a common denominator:
\[
\frac{12}{30} \text{ and } \frac{20}{30}
\]
Quick Answer
\[
\frac{12}{30} \text{ and } \frac{20}{30}
\]
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