Learning Goal
Part of: Use equivalent fractions as a strategy to add and subtract fractions — 1 of 2 cluster items
Add and subtract fractions with unlike denominators
**5.NF.A.1**: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)
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5.NF.A.1: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)
What you'll learn
- Explain why fractions with unlike denominators cannot be added or subtracted directly - the pieces are different sizes, so counting them together does not produce a meaningful result
- Find a common denominator for two fractions by listing multiples or by multiplying the two denominators
- Convert each fraction to an equivalent fraction with the common denominator, applying the principle that multiplying both the numerator and denominator by the same nonzero number does not change the fraction's value
- Add fractions with unlike denominators (including mixed numbers) and express the result in simplest form
- Subtract fractions with unlike denominators (including mixed numbers) and express the result in simplest form
Slides
Interactive presentations perfect for visual learners • Interactive presentation
Slide Video
Watch narrated slides play like a video lesson • Narrated slide playback