Logan Potter
09/16/2024 · Junior High School
3. \( \frac{3}{8}+2 \frac{1}{2} \square \)
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Step-by-step Solution
To solve the expression \( \frac{3}{8} + 2 \frac{1}{2} \), we need to first convert the mixed number \( 2 \frac{1}{2} \) to an improper fraction.
\( 2 \frac{1}{2} = \frac{2 \times 2 + 1}{2} = \frac{5}{2} \)
Now, we can add the fractions:
\( \frac{3}{8} + \frac{5}{2} \)
To add these fractions, we need to find a common denominator. The least common multiple of 8 and 2 is 8.
\( \frac{3}{8} + \frac{5}{2} = \frac{3}{8} + \frac{5 \times 4}{2 \times 4} = \frac{3}{8} + \frac{20}{8} \)
Now, we can add the fractions:
\( \frac{3}{8} + \frac{20}{8} = \frac{3 + 20}{8} = \frac{23}{8} \)
Therefore, \( \frac{3}{8} + 2 \frac{1}{2} = \frac{23}{8} \).
Quick Answer
\( \frac{3}{8} + 2 \frac{1}{2} = \frac{23}{8} \)
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