Fractions Math Example 3

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

Example 3

easy
Add 49+29\frac{4}{9} + \frac{2}{9}.

Solution

  1. 1
    Add the numerators: 4+29=69\frac{4 + 2}{9} = \frac{6}{9}.
  2. 2
    Simplify by dividing numerator and denominator by gcd⁡(6,9)=3\gcd(6, 9) = 3: 69=23\frac{6}{9} = \frac{2}{3}.

Answer

23\frac{2}{3}
Always simplify your final answer by dividing both numerator and denominator by their greatest common divisor.

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.

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More Fractions Examples

Example 1 easy

Add [formula].

Example 2 medium

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

Example 4 medium

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

Example 5 medium

Add [formula].

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