Adding Fractions with Like Denominators Math Example 1

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

Example 1

easy
Add 38+48\frac{3}{8} + \frac{4}{8}.

Solution

  1. 1
    The denominators are both 88, so the pieces are the same size.
  2. 2
    Add the numerators: 3+4=73 + 4 = 7. Keep the denominator: 78\frac{7}{8}.
  3. 3
    Check: gcd⁡(7,8)=1\gcd(7, 8) = 1, so the fraction is already in simplest form.

Answer

78\frac{7}{8}
Adding like-denominator fractions means combining the counts of equal-sized pieces. The denominator acts as a label (eighths) and stays unchanged — only the count of pieces (numerator) changes.

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 2 medium

Add [formula] and simplify fully.

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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