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FractionsArithmeticElementary schoolabout 0:41

Calculate 3/8 / 6/6: animated lesson

A narrated, step-by-step fractions video lesson with captions. Final answer: 3/8.

Video with a synthetic English voice and captions. Pick another language for subtitles in that language, or open the interactive version.

Video narrated by a synthetic voice (Piper TTS, en_US-ljspeech-high voice (LJ Speech dataset, public domain)); the steps come from our maths engine and the answer was checked independently. Download MP4 (0.3 MB) · Captions (WebVTT)

Steps on screen

  1. 1. The problem
    Worked example
    3/8 / 6/6
  2. 2. Step by step
    1. 38÷1=38×1\frac{3}{8} \div 1 = \frac{3}{8} \times 1
      Dividing by a fraction means multiplying by its reciprocal
    2. 38×1=3×18×1=38\frac{3}{8} \times 1 = \frac{3 \times 1}{8 \times 1} = \frac{3}{8}
      Multiply numerators and multiply denominators
    3. 38\frac{3}{8}
      Final answer in lowest terms
  3. 3. The answer
    38\frac{3}{8}

    3/8 / 6/6 = 3/8

  4. 4. Check
    • Decimal check: 3/8 ≈ 0.375

Transcript

The problem. Here is the problem: 3 over 8 / 6 over 6. Exact arithmetic with fractions (results kept in lowest terms).

Step by step. Dividing by a fraction means multiplying by its reciprocal. Multiply numerators and multiply denominators. Final answer in lowest terms.

The answer. So the answer is 3 over 8. Fractions are combined over a common denominator for addition and subtraction, multiplied straight across, and divided by multiplying by the reciprocal. The result is reduced by the greatest common factor.

Check. Decimal check: 3 over 8 approximately 0.375.

About fractions

Add, subtract, multiply and divide fractions, finding common denominators and simplifying the result.

Calculate 3/8 / 6/6: Fractions Step-by-Step Lesson