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FractionsArithmeticElementary schoolabout 0:44

Calculate 9/4 / 7/7: animated lesson

A narrated, step-by-step fractions video lesson with captions. Final answer: 9/4.

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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
9/4 / 7/7
2. Step by step
1. $\frac{9}{4} \div 1 = \frac{9}{4} \times 1$
  Dividing by a fraction means multiplying by its reciprocal
2. $\frac{9}{4} \times 1 = \frac{9 \times 1}{4 \times 1} = \frac{9}{4}$
  Multiply numerators and multiply denominators
3. $\frac{9}{4} = 2\tfrac{1}{4}$
  Final answer in lowest terms
3. The answer
$\frac{9}{4}$
9/4 / 7/7 = 9/4
4. Check
- Decimal check: 9/4 ≈ 2.25
- As a mixed number: 2 1/4

Transcript

The problem. Here is the problem: 9 over 4 / 7 over 7. 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 9 over 4. 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: 9 over 4 approximately 2.25. As a mixed number: 2 1 over 4.

About fractions

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

Calculate 9/4 / 7/7: Fractions Step-by-Step Lesson