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The image shows a mathematical expression:
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[ \frac{1}{2} + \frac{3}{4} - \frac{5}{8} ]
To solve this, we need to find a common denominator for the fractions involved.
Step-by-step Solution:
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Identify the Denominators: The denominators are (2), (4), and (8).
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Find the Least Common Multiple (LCM):
The LCM of (2), (4), and (8) is (8).
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Convert Each Fraction:
- Convert (\frac{1}{2}) to have a denominator of (8): [ \frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8} ]
- Convert (\frac{3}{4}) to have a denominator of (8): [ \frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8} ]
- (\frac{5}{8}) already has a denominator of (8).
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Perform the Addition and Subtraction:
- Add (\frac{4}{8} + \frac{6}{8} = \frac{10}{8}).
- Subtract (\frac{10}{8} - \frac{5}{8} = \frac{5}{8}).
Therefore, the final answer is:
[ \boxed{\frac{5}{8}} ]