Skill: Add fractions with like denominators

Explanation and Free Practice Resources

The learner understands that fractions with a common denominator represent quantities partitioned into equal-sized parts, so their numerators can be combined while the denominator remains unchanged: $a/b+c/b=(a+c)/b$ . This includes sums that are less than, equal to, or greater than one, with results simplified or expressed as mixed numbers when appropriate; adding denominators or applying this rule to unlike denominators is not included.

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Detailed Explanation: Add fractions with like denominators

When fractions have the same denominator, they are made of equal-sized parts. Add the numerators and keep the denominator unchanged.

Example:

\frac{5}{8}+\frac{6}{8}

The denominators are both $8$ , so the parts are the same size.
Add the numerators: $5+6=11$ .
Keep the denominator $8$ :

\frac{5}{8}+\frac{6}{8}=\frac{11}{8}

Since $\frac{11}{8}$ is greater than one whole, write it as a mixed number. Eight eighths make one whole, with $3$ eighths left:

\frac{11}{8}=1\frac{3}{8}

Therefore,

\boxed{\frac{5}{8}+\frac{6}{8}=1\frac{3}{8}}

Learn by doing: Add fractions with like denominators

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Fraction Addition - Basic (Simplifying Answers) - No Changed Denominator

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