QuestionInsert or between the numbers to make the statement true: .
Studdy Solution
STEP 1
Assumptions1. We are comparing two fractions and . . We need to determine if is greater than, less than, or equal to .
STEP 2
To compare two fractions, we need to find a common denominator. The common denominator of11 and9 is the least common multiple (LCM) of11 and9.
STEP 3
Calculate the LCM of11 and9. Since11 and9 are both prime numbers, their LCM is simply their product.
STEP 4
Now, we convert both fractions to have the common denominator of99.
For , we multiply both the numerator and the denominator by9.
STEP 5
For , we multiply both the numerator and the denominator by11.
STEP 6
Now, we can compare the two fractions and .
Since54 is greater than22, we can say that is greater than .
STEP 7
Therefore, we can say that is greater than .
So, the correct symbol to insert between and is .
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