What is the least common denominator of 2/3 and 4/9?

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Multiple Choice

What is the least common denominator of 2/3 and 4/9?

Explanation:
To compare fractions, you need a common denominator—the smallest number that both denominators divide into. The denominators are 3 and 9, and the smallest such number is 9. Converting to ninths: 2/3 becomes 6/9, and 4/9 stays 4/9. Since 9 is the least common multiple of 3 and 9, it is the least common denominator. A smaller option like 3 wouldn’t work for 4/9, and 6 wouldn’t work for 4/9 either, while 27 would work but isn’t the smallest.

To compare fractions, you need a common denominator—the smallest number that both denominators divide into. The denominators are 3 and 9, and the smallest such number is 9. Converting to ninths: 2/3 becomes 6/9, and 4/9 stays 4/9. Since 9 is the least common multiple of 3 and 9, it is the least common denominator. A smaller option like 3 wouldn’t work for 4/9, and 6 wouldn’t work for 4/9 either, while 27 would work but isn’t the smallest.

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