CurriculumGrade 6Mathematics

Dividing Fractions

Aligned to 6.NS.A.1 — Common Core State Standards for Mathematics.

What this lesson teaches

Dividing by a fraction means asking 'how many of these fit?' The shortcut: multiply by the reciprocal (flip the second fraction).

Worked example

2/3 ÷ 3/4 → flip the second: 2/3 × 4/3 = 8/9. (How many 3/4s fit into 2/3? About 8/9 of one.)

Practice questions

  1. Compute 4/5 ÷ 2/3.
  2. How many 1/4-cup scoops are in 3 cups?
  3. Compute 5 ÷ 1/2 and explain why the answer is bigger than 5.

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

División de Fracciones

Dividir entre una fracción significa preguntarse '¿cuántas de éstas caben?'. El truco es: multiplica por el recíproco (voltea la segunda fracción).

Ejemplo: 2/3 ÷ 3/4 → voltea la segunda: 2/3 × 4/3 = 8/9. (¿Cuántas veces cabe 3/4 en 2/3? Aproximadamente 8/9 de una vez.)

More The Number System lessons

Multi-Digit Decimals, GCF/LCM, and Negative Numbers6.NS.C.6Long Division with Big Numbers6.NS.B.2Operating with Decimals6.NS.B.3GCF, LCM, and Factoring Sums6.NS.B.4Positive and Negative Numbers6.NS.C.5Ordering and Absolute Value6.NS.C.7

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