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Multiple Choice

What is the simplest form of the fraction 24/36?

The main idea is to reduce a fraction by canceling any common factors of the numerator and denominator until none remain. For 24/36, both numbers share 12 as a factor, so dividing both by 12 gives 24 ÷ 12 = 2 and 36 ÷ 12 = 3, yielding 2/3. This is in lowest terms because 2 and 3 have no common factors besides 1. The other forms either aren’t in lowest terms (4/6 and 6/9 reduce to 2/3) or aren’t even equivalent to the original fraction (3/2). So the simplest form is 2/3.

The main idea is to reduce a fraction by canceling any common factors of the numerator and denominator until none remain. For 24/36, both numbers share 12 as a factor, so dividing both by 12 gives 24 ÷ 12 = 2 and 36 ÷ 12 = 3, yielding 2/3. This is in lowest terms because 2 and 3 have no common factors besides 1. The other forms either aren’t in lowest terms (4/6 and 6/9 reduce to 2/3) or aren’t even equivalent to the original fraction (3/2). So the simplest form is 2/3.