Adding Fractions Math Example 3

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

Example 3

easy
Add 512+312\frac{5}{12} + \frac{3}{12}.

Solution

  1. 1
    Same denominator: add numerators 5+3=85 + 3 = 8. Keep denominator: 812\frac{8}{12}.
  2. 2
    Simplify: gcd⁡(8,12)=4\gcd(8, 12) = 4, so 812=23\frac{8}{12} = \frac{2}{3}.

Answer

23\frac{2}{3}
Like-denominator fraction addition is the simplest case: add numerators, keep the denominator, and simplify. Always check for a GCD to express the answer in lowest terms.

About Adding Fractions

Adding fractions combines parts of a whole by rewriting both with a common denominator and then adding the numerators.

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More Adding Fractions Examples

Example 1 easy

Add [formula].

Example 2 medium

Add [formula].

Example 4 hard

Three tanks contain [formula], [formula], and [formula] of their capacity in water. If each tank has

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