Question
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Answer
The result is -7/8.
Solution
To subtract the fractions, find a common denominator. The fractions are -3/4 and -1/8. The common denominator is 8.
Convert -3/4 to a fraction with denominator 8:
-3/4 = -6/8
Now subtract:
-6/8 - 1/8 = (-6 - 1)/8 = -7/8
So, the simplified result is -7/8.
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Simplify this solution Bonus Knowledge
To solve \( -\frac{3}{4}-\frac{1}{8} \), first, we need a common denominator. The least common multiple of 4 and 8 is 8. Convert \( -\frac{3}{4} \) to have a denominator of 8. This gives us \( -\frac{6}{8} \). Now, you have: \[ -\frac{6}{8} - \frac{1}{8} = -\frac{6 + 1}{8} = -\frac{7}{8} \] So the final answer is \( -\frac{7}{8} \). To double-check: converting back to a decimal, both fractions yield -0.875, matching our result!
