Add 3/8 and 5/12. Put result in simplest form.

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Multiple Choice

Add 3/8 and 5/12. Put result in simplest form.

Explanation:
Adding fractions means you must have the same size pieces, so you look for a common denominator. The least common multiple of 8 and 12 is 24, so rewrite each fraction with that denominator: 3/8 becomes 9/24 (multiply top and bottom by 3) and 5/12 becomes 10/24 (multiply top and bottom by 2). Now you can add the numerators: 9 + 10 = 19, giving 19/24. This fraction is already in simplest form because 19 shares no factors with 24. So the sum is 19/24.

Adding fractions means you must have the same size pieces, so you look for a common denominator. The least common multiple of 8 and 12 is 24, so rewrite each fraction with that denominator: 3/8 becomes 9/24 (multiply top and bottom by 3) and 5/12 becomes 10/24 (multiply top and bottom by 2). Now you can add the numerators: 9 + 10 = 19, giving 19/24. This fraction is already in simplest form because 19 shares no factors with 24. So the sum is 19/24.

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