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Add fractions with like denominators

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)/ba/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.

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:

58+68\frac{5}{8}+\frac{6}{8}
  1. The denominators are both 88, so the parts are the same size.
  2. Add the numerators: 5+6=115+6=11.
  3. Keep the denominator 88:
58+68=118\frac{5}{8}+\frac{6}{8}=\frac{11}{8}

Since 118\frac{11}{8} is greater than one whole, write it as a mixed number. Eight eighths make one whole, with 33 eighths left:

118=138\frac{11}{8}=1\frac{3}{8}

Therefore,

58+68=138\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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