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FractionsArithmeticElementary schoolabout 0:47

Calculate 6/11 / 4/8: animated lesson

A narrated, step-by-step fractions video lesson with captions. Final answer: 12/11.

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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. The problem
Worked example
6/11 / 4/8
2. Step by step
1. $\frac{6}{11} \div \frac{1}{2} = \frac{6}{11} \times 2$
  Dividing by a fraction means multiplying by its reciprocal
2. $\frac{6}{11} \times 2 = \frac{6 \times 2}{11 \times 1} = \frac{12}{11}$
  Multiply numerators and multiply denominators
3. $\frac{12}{11} = 1\tfrac{1}{11}$
  Final answer in lowest terms
3. The answer
$\frac{12}{11}$
6/11 / 4/8 = 12/11
4. Check
- Decimal check: 12/11 ≈ 1.090909091
- As a mixed number: 1 1/11

Transcript

The problem. Here is the problem: 6 over 11 over 4/8. 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 12 over 11. 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: 12 over 11 approximately 1.090909091. As a mixed number: 1 1 over 11.

About fractions

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

Calculate 6/11 / 4/8: Fractions Step-by-Step Lesson