Evaluate 2/8*2*1*11: animated lesson
A narrated, step-by-step order of operations video lesson with captions. Final answer: 11/2.
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 problemWorked example2/8*2*1*11
- 2. Steps, part 1
- Multiply numerators and multiply denominators
- Simplify
- Multiply numerators and multiply denominators
- Multiply numerators and multiply denominators
- 3. Steps, part 2
- Final answer in lowest terms
- 4. The answer
2/8*2*1*11 = 11/2
- 5. Check
- Decimal check: 11/2 ≈ 5.5
- As a mixed number: 5 1/2
Transcript
The problem. Here is the problem: 2 over 8 times 2 times 1 times 11. Exact arithmetic with fractions (results kept in lowest terms).
Steps, part 1. Multiply numerators and multiply denominators. Simplify. Divide numerator and denominator by their GCF, 2. Multiply numerators and multiply denominators. Multiply numerators and multiply denominators.
Steps, part 2. Final answer in lowest terms.
The answer. So the answer is 11 over 2. 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: 11 over 2 approximately 5.5. As a mixed number: 5 1 over 2.
About order of operations
Evaluate expressions with brackets, powers, multiplication, division, addition and subtraction in the right order.
More lessons like this
- Video lesson0:49ArithmeticElementary school5 stepsEvaluate 7/9/3+2
Order of operations
- Video lesson0:34ArithmeticElementary school2 stepsEvaluate 64^(1/3) + 81^(1/4)
Order of operations
- Video lesson0:32ArithmeticElementary school2 stepsEvaluate 17+11-9+6
Order of operations
- Video lesson0:58ArithmeticElementary school7 stepsEvaluate 6 + 12 × (4 - 9) / 7
Order of operations
- Video lesson0:54ArithmeticElementary school6 stepsEvaluate 16 / 9 / 8 + 9
Order of operations
- Video lesson0:35ArithmeticElementary school3 stepsEvaluate 2⁻³
Order of operations