In the example 7/8 - 3/8, what is the final reduced fraction result?

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To solve the problem of subtracting the fractions 7/8 and 3/8, it's essential to understand that both fractions have a common denominator of 8. When subtracting fractions that share a common denominator, you simply subtract the numerators while keeping the denominator the same.

Starting with the numerators:

7 (from 7/8) minus 3 (from 3/8) gives you 4. Thus, the result of the subtraction is 4 over the common denominator of 8:

[

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

]

Next, it's important to reduce the fraction to its simplest form. Since both the numerator (4) and the denominator (8) can be divided by their greatest common divisor, which is 4, we can simplify:

[

\frac{4 \div 4}{8 \div 4} = \frac{1}{2}

]

The simplified result of the subtraction is therefore 1/2. This indicates that the most reduced fraction from the subtraction of 7/8 and 3/8 is indeed

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