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FractionsArithmeticElementary schoolabout 0:39

Calculate 7/7 / 6/12: animated lesson

A narrated, step-by-step fractions video lesson with captions. Final answer: 2.

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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 (0.2 MB) · Captions (WebVTT)

Steps on screen

1. The problem
Worked example
7/7 / 6/12
2. Step by step
1. $1 \div \frac{1}{2} = 1 \times 2$
  Dividing by a fraction means multiplying by its reciprocal
2. $1 \times 2 = \frac{1 \times 2}{1 \times 1} = 2$
  Multiply numerators and multiply denominators
3. $2$
  Final answer in lowest terms
3. The answer
$2$
7/7 / 6/12 = 2
4. Check
- Decimal check: 2 ≈ 2

Transcript

The problem. Here is the problem: 7 over 7 / 6 over 12. 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 2. 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: 2 approximately 2.

About fractions

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

Calculate 7/7 / 6/12: Fractions Step-by-Step Lesson