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Which way should the inequality sign be oriented to correctly compare the two fractions 7/8 and 2/4?"

A) < (less than)
B) > (greater than)
C) ≤ (less than or equal to)
D) ≥ (greater than or equal to)

User Gshock
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1 Answer

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Final answer:

The fraction 7/8 is greater than 2/4. After simplifying 2/4 to 1/2, which equals 4/8, we see that 4/8 is less than 7/8, confirming that 7/8 is greater than 2/4.

Step-by-step explanation:

To compare the two fractions 7/8 and 2/4, we need to determine which is larger. First, we should recognize that 2/4 simplifies to 1/2. Since 1/2 is equivalent to 4/8, and 4/8 is less than 7/8, the correct inequality sign to compare the two fractions is > (greater than). Therefore, 7/8 is greater than 2/4. This can also be confirmed by converting fractions to decimals where 7/8 is approximately 0.875 and 2/4 or 1/2 is 0.5, and clearly, 0.875 is greater than 0.5.

User Charrison
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