CurriculumGrade 5Mathematics

Adding Fractions with Unlike Denominators

Aligned to 5.NF.A.1 — Common Core State Standards for Mathematics.

What this lesson teaches

You can only add fractions when the pieces are the same size. Rewrite both fractions with a common denominator (a shared multiple), then add the numerators and keep the denominator.

Worked example

1/3 + 1/4 → common denominator 12. 1/3 = 4/12 and 1/4 = 3/12. Add: 4/12 + 3/12 = 7/12.

Practice questions

  1. Add 2/5 + 1/3.
  2. Subtract 3/4 − 1/6.
  3. Why can't you just add 1/3 + 1/4 to get 2/7?

Watch the lesson

Every lesson comes with a video taught in English and Spanish — the same video the QR code in the printed workbook opens.

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En español

Suma de fracciones con denominadores diferentes

Solo puedes sumar fracciones cuando las partes tienen el mismo tamaño. Reescribe ambas fracciones con un denominador común (un múltiplo compartido), luego suma los numeradores y conserva el denominador.

Ejemplo: 1/3 + 1/4 → denominador común 12. 1/3 = 4/12 y 1/4 = 3/12. Suma: 4/12 + 3/12 = 7/12.

More Number & Operations—Fractions lessons

Multiplying and Dividing Fractions5.NF.B.4Fraction Word Problems5.NF.A.2Fractions as Division5.NF.B.3Multiplying as Scaling5.NF.B.5Multiplying Fractions in Real Life5.NF.B.6Dividing with Unit Fractions5.NF.B.7

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