Q
QuestionMathematics

Which is greater and by how much: 3 / 4 or 7 / 8?
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Answer

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Step 1:
I'll solve this step-by-step using the specified LaTeX formatting guidelines:

Step 2:
: Convert fractions to a common denominator

\frac{7}{8}$$ is already in eighths
To compare fractions, we need to find a common denominator. The least common multiple of 4 and 8 is 8.

Step 3:
: Compare the numerators

\frac{6}{8}$$ vs $$\frac{7}{8}
Now we can directly compare the numerators:

Step 4:
: Determine the difference

7 - 6 = 1
So \frac{7}{8} is greater than \frac{3}{4} by \frac{1}{8}

Step 5:
: Verify the difference

\frac{7}{8} - \frac{3}{4} = \frac{7}{8} - \frac{6}{8} = \frac{1}{8}

Final Answer

\frac{7}{8} is greater than \frac{3}{4} by \frac{1}{8}.