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FractionsArithmeticElementary schoolabout 0:47

Calculate 8/3 / 3/5: animated lesson

A narrated, step-by-step fractions video lesson with captions. Final answer: 40/9.

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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
8/3 / 3/5
2. Step by step
1. $\frac{8}{3} \div \frac{3}{5} = \frac{8}{3} \times \frac{5}{3}$
  Dividing by a fraction means multiplying by its reciprocal
2. $\frac{8}{3} \times \frac{5}{3} = \frac{8 \times 5}{3 \times 3} = \frac{40}{9}$
  Multiply numerators and multiply denominators
3. $\frac{40}{9} = 4\tfrac{4}{9}$
  Final answer in lowest terms
3. The answer
$\frac{40}{9}$
8/3 / 3/5 = 40/9
4. Check
- Decimal check: 40/9 ≈ 4.444444444
- As a mixed number: 4 4/9

Transcript

The problem. Here is the problem: 8 over 3 / 3 over 5. 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 40 over 9. 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: 40 over 9 approximately 4.444444444. As a mixed number: 4 4 over 9.

About fractions

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

Calculate 8/3 / 3/5: Fractions Step-by-Step Lesson