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Order of operationsArithmeticElementary schoolabout 0:44

Evaluate 17 / (4 / 3): animated lesson

A narrated, step-by-step order of operations video lesson with captions. Final answer: 51/4.

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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
17 / (4 / 3)
2. Step by step
1. $17 \div \frac{4}{3} = 17 \times \frac{3}{4}$
  Dividing by a fraction means multiplying by its reciprocal
2. $17 \times \frac{3}{4} = \frac{17 \times 3}{1 \times 4} = \frac{51}{4}$
  Multiply numerators and multiply denominators
3. $\frac{51}{4} = 12\tfrac{3}{4}$
  Final answer in lowest terms
3. The answer
$\frac{51}{4}$
17 / (4 / 3) = 51/4
4. Check
- Decimal check: 51/4 ≈ 12.75
- As a mixed number: 12 3/4

Transcript

The problem. Here is the problem: 17 / (4 over 3). 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 51 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: 51 over 4 approximately 12.75. As a mixed number: 12 3 over 4.

About order of operations

Evaluate expressions with brackets, powers, multiplication, division, addition and subtraction in the right order.

Evaluate 17 / (4 / 3): Animated Step-by-Step Lesson