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FractionsArithmeticElementary schoolabout 0:47

Calculate 3/3 / 7/8: animated lesson

A narrated, step-by-step fractions video lesson with captions. Final answer: 8/7.

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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
3/3 / 7/8
2. Step by step
1. $1 \div \frac{7}{8} = 1 \times \frac{8}{7}$
  Dividing by a fraction means multiplying by its reciprocal
2. $1 \times \frac{8}{7} = \frac{1 \times 8}{1 \times 7} = \frac{8}{7}$
  Multiply numerators and multiply denominators
3. $\frac{8}{7} = 1\tfrac{1}{7}$
  Final answer in lowest terms
3. The answer
$\frac{8}{7}$
3/3 / 7/8 = 8/7
4. Check
- Decimal check: 8/7 ≈ 1.142857143
- As a mixed number: 1 1/7

Transcript

The problem. Here is the problem: 3 over 3 / 7 over 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 8 over 7. 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: 8 over 7 approximately 1.142857143. As a mixed number: 1 1 over 7.

About fractions

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

Calculate 3/3 / 7/8: Fractions Step-by-Step Lesson