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FractionsArithmeticElementary schoolabout 0:49

Calculate 3/7 ÷ 2/5: animated lesson

A narrated, step-by-step fractions video lesson with captions. Final answer: 15/14.

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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
3/7 ÷ 2/5
2. Step by step
1. $\frac{3}{7} \div \frac{2}{5} = \frac{3}{7} \times \frac{5}{2}$
  Dividing by a fraction means multiplying by its reciprocal
2. $\frac{3}{7} \times \frac{5}{2} = \frac{3 \times 5}{7 \times 2} = \frac{15}{14}$
  Multiply numerators and multiply denominators
3. $\frac{15}{14} = 1\tfrac{1}{14}$
  Final answer in lowest terms
3. The answer
$\frac{15}{14}$
3/7 / 2/5 = 15/14
4. Check
- Decimal check: 15/14 ≈ 1.071428571
- As a mixed number: 1 1/14

Transcript

The problem. Here is the problem: 3 over 7 divided by 2 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 15 over 14. 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: 15 over 14 approximately 1.071428571. As a mixed number: 1 1 over 14.

About fractions

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

Calculate 3/7 ÷ 2/5: Fractions Step-by-Step Lesson