Fractions Math Example 1

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

Example 1

easy
Add 25+15\frac{2}{5} + \frac{1}{5}.

Solution

  1. 1
    Check that the denominators are the same: both fractions have denominator 55.
  2. 2
    Since denominators match, add the numerators directly: 2+15=35\frac{2 + 1}{5} = \frac{3}{5}.
  3. 3
    Simplify: gcd⁡(3,5)=1\gcd(3, 5) = 1, so 35\frac{3}{5} is already in lowest terms.

Answer

35\frac{3}{5}
When fractions share the same denominator, you simply add the numerators and keep the denominator unchanged. Always check whether the result can be simplified.

About Fractions

A fraction is a number of the form ab\frac{a}{b} where aa (the numerator) counts how many equal parts you have and bb (the denominator, which must not be zero) tells how many equal parts the whole is divided into.

Learn more about Fractions →

More Fractions Examples

Example 2 medium

Which is larger: [formula] or [formula]?

Example 3 easy

Add [formula].

Example 4 medium

Arrange [formula], [formula], and [formula] in order from least to greatest.

Example 5 medium

Add [formula].

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