Math  /  Numbers & Operations

QuestionWhich sign makes the statement true? 114?2.75\frac{-11}{4} ?-2.75

Studdy Solution

STEP 1

1. We are comparing the fraction 114\frac{-11}{4} with the decimal 2.75-2.75.
2. We need to determine which inequality sign (<<, >>, or ==) makes the statement true.

STEP 2

1. Convert the fraction to a decimal.
2. Compare the decimal values.
3. Determine the correct inequality sign.

STEP 3

Convert the fraction 114\frac{-11}{4} to a decimal by performing the division.
114=2.75 \frac{-11}{4} = -2.75

STEP 4

Compare the decimal values of 2.75-2.75 and 2.75-2.75.
Since both values are equal, we have:
2.75=2.75 -2.75 = -2.75

STEP 5

Determine the correct inequality sign.
Since 2.75-2.75 is equal to 2.75-2.75, the correct sign is:
= =
The sign that makes the statement true is:
=\boxed{=}

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