Adding Fractions with Like Denominators Math Example 2

Follow the full solution, then compare it with the other examples linked below.

Example 2

medium
Add 59+79\frac{5}{9} + \frac{7}{9} and simplify fully.

Solution

  1. 1
    Add numerators: 5+7=125 + 7 = 12. Denominator stays 99: 129\frac{12}{9}.
  2. 2
    The result is an improper fraction. Simplify: gcd⁡(12,9)=3\gcd(12, 9) = 3, so 129=43\frac{12}{9} = \frac{4}{3}.
  3. 3
    Convert to mixed number: 43=113\frac{4}{3} = 1\frac{1}{3}.

Answer

43=113\frac{4}{3} = 1\frac{1}{3}
When adding like-denominator fractions, the sum of the numerators may exceed the denominator, giving an improper fraction. Always simplify and convert to a mixed number when the result is greater than 1.

About Adding Fractions with Like Denominators

Adding fractions that share the same denominator by adding the numerators and keeping the denominator.

Learn more about Adding Fractions with Like Denominators →

More Adding Fractions with Like Denominators Examples

Example 1 easy

Add [formula].

Example 3 easy

A jug contains [formula] litre of water. You pour in another [formula] litre. How much water is in t

Example 4 medium

Compute [formula] and simplify.

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