Adding Fractions with Like Denominators Math Example 3

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

Example 3

easy
A jug contains 27\frac{2}{7} litre of water. You pour in another 37\frac{3}{7} litre. How much water is in the jug?

Solution

  1. 1
    Add: 27+37=2+37=57\frac{2}{7} + \frac{3}{7} = \frac{2+3}{7} = \frac{5}{7}.
  2. 2
    gcd⁡(5,7)=1\gcd(5, 7) = 1, so 57\frac{5}{7} is already simplified.

Answer

57 litre\frac{5}{7} \text{ litre}
Real-world quantities expressed as like-denominator fractions are added by combining the numerators. The denominator (sevenths) represents the unit of measurement and stays the same.

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 2 medium

Add [formula] and simplify fully.

Example 4 medium

Compute [formula] and simplify.

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