What is 1/5 + 1/9 in simplest form?

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Multiple Choice

What is 1/5 + 1/9 in simplest form?

Explanation:
Adding fractions with different denominators requires a common denominator. Find the least common multiple of the bottoms, rewrite each fraction with that denominator, then add the numerators and simplify. For 1/5 and 1/9, the least common multiple of 5 and 9 is 45. Convert: 1/5 = 9/45 and 1/9 = 5/45. Add: 9/45 + 5/45 = 14/45. Check for simplest form: 14 and 45 have no common factors besides 1, so 14/45 is already simplified. The sum is 14/45.

Adding fractions with different denominators requires a common denominator. Find the least common multiple of the bottoms, rewrite each fraction with that denominator, then add the numerators and simplify.

For 1/5 and 1/9, the least common multiple of 5 and 9 is 45. Convert:

1/5 = 9/45 and 1/9 = 5/45. Add: 9/45 + 5/45 = 14/45.

Check for simplest form: 14 and 45 have no common factors besides 1, so 14/45 is already simplified. The sum is 14/45.

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