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Jin and Mali are raking leaves in each of their yards. They each want to be the first to rake 12

their yard. When they stop, Jin has raked 710
of his yard and Mali has raked 25
of her yard.

Which number sentence correctly compares all three fractions?

A.
710=12<25

B.
710>12>25

C.
710<12<25

D.
710>12=25

1 answer

To compare the quantities, we should first express them in the same form.

Jin raked \( \frac{710}{12} \) of his yard, and Mali raked \( \frac{25}{12} \) of her yard.

Now we can compare:

  1. Jin has raked \( 710 \) and 12 is the target he wants to reach.
  2. Mali has raked \( 25 \) also in terms of the same target of 12.

Now let's analyze the comparisons:

  • Jin's raked leaves \( (710) \) is much greater than the target of \( (12) \).
  • Mali's raked leaves \( (25) \) is also greater than the target \( (12) \).

Thus:

  • Jin has raked more than the target (710 > 12).
  • Mali has also raked more than the target (25 > 12).

Now we need to compare \( 710 \) and \( 25 \):

Since \( 710 > 25 \), we can establish that:

The correct comparison of the values is:

\[ 710 > 25 > 12 \]

Given your options, the one that correctly represents this relationship is:

B. \( 710 > 12 > 25 \)

However, B should actually express it as \( 710 > 25 > 12 \), meaning that it is larger than both and is across all digits compared correctly towards 12.

There are slight discrepancies in the provided answer options. The closest and appropriately structured but improperly categorized comparative would then be considered.

Hence, it should accurately highlight the implicit dissimilarity indicated before making it effectively articulate from B:D comparisons in structure relative to intention:

  • 710 is the direct max, followed by Mali and Jin's spirits brought onto record 12.

Since there’s no exact match, ensuring an intent may distinctly matter regarding appropriate outcomes might be revisited based on proper dimensions relationally provided in context.