Question
24. \( \begin{array}{r}\frac{3}{4} \\ -\frac{1}{8} \\ \hline\end{array} \)
Ask by Brewer Bates. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The result of \( \frac{3}{4} - \frac{1}{8} \) is \( \frac{5}{8} \).
Solution
To solve the problem, we need to perform the subtraction of the two fractions: \( \frac{3}{4} - \frac{1}{8} \).
### Step 1: Find a common denominator
The denominators of the fractions are 4 and 8. The least common denominator (LCD) is 8.
### Step 2: Convert the fractions
We need to convert \( \frac{3}{4} \) to a fraction with a denominator of 8. We do this by multiplying both the numerator and the denominator by 2:
\[
\frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8}
\]
Now we can rewrite the subtraction:
\[
\frac{6}{8} - \frac{1}{8}
\]
### Step 3: Perform the subtraction
Now that both fractions have the same denominator, we can subtract the numerators:
\[
\frac{6 - 1}{8} = \frac{5}{8}
\]
### Final Answer
Thus, the result of \( \frac{3}{4} - \frac{1}{8} \) is:
\[
\frac{5}{8}
\]
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Bonus Knowledge
To perform the subtraction of these fractions, we first need a common denominator. The denominators here are 4 and 8. The least common denominator is 8. Convert \(\frac{3}{4}\) to eighths: \(\frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8}\). Now, we can subtract: \[ \frac{6}{8} - \frac{1}{8} = \frac{6 - 1}{8} = \frac{5}{8}. \] So, the answer to your subtraction problem is \(\frac{5}{8}\).