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You have two ways to compare fractions. You can either express them with a common denominator, or express them as decimals.

Common denominator

find the least common multiple of the two denominators

In this cause, the LCM of 22 and 33 is 66.

Then find the equivalent fraction for both of those given, that have the LCM as their denominator.

3/22 is equivalent to 9/66.

2/33 is equivalent to 4/66.

Then, comparing the numerators, you can tell which number is larger.

since 9 > 4, 9/66 > 4>66. Hence, 3/22 > 2/33.

Decimal

To express them as a decimal, you use long division. I'll assume you know how to do so.

3/22 = 0.1(36)

2/33 = 0.(06)

[i used parentheses to denote that that set of numbers repeat infinitely in the fraction's decimal expansion]

From there, it is easy to see that 3/22 > 2/33

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13y ago

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