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Answer
The result of \( \frac{8}{9} - \frac{5}{8} \) is \( \frac{19}{72} \).
Solution
To subtract 5/8 from 8/9, we first find a common denominator. The least common denominator (LCD) for 9 and 8 is 72.
Step 1: Convert each fraction to have the denominator 72.
8/9 = (8 × 8) / (9 × 8) = 64/72
5/8 = (5 × 9) / (8 × 9) = 45/72
Step 2: Subtract the fractions.
64/72 - 45/72 = (64 - 45)/72 = 19/72
Thus, the final answer is 19/72.
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To subtract the fractions \( \frac{8}{9} \) and \( \frac{5}{8} \), we first need a common denominator. The least common multiple of 9 and 8 is 72. Now we convert each fraction: - For \( \frac{8}{9} \): \( \frac{8}{9} \times \frac{8}{8} = \frac{64}{72} \) - For \( \frac{5}{8} \): \( \frac{5}{8} \times \frac{9}{9} = \frac{45}{72} \) Now we can subtract: \[ \frac{64}{72} - \frac{45}{72} = \frac{64 - 45}{72} = \frac{19}{72} \] So, \( \frac{8}{9} - \frac{5}{8} = \frac{19}{72} \).
