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Order of operationsArithmeticElementary schoolabout 0:47

Evaluate (6 + 5) / 3: animated lesson

A narrated, step-by-step order of operations video lesson with captions. Final answer: 11/3.

SpeedLanguage

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
(6 + 5) / 3
2. Step by step
1. $6 + 5 = 11$
  Add the whole numbers
2. $11 \div 3 = 11 \times \frac{1}{3}$
  Dividing by a fraction means multiplying by its reciprocal
3. $11 \times \frac{1}{3} = \frac{11 \times 1}{1 \times 3} = \frac{11}{3}$
  Multiply numerators and multiply denominators
4. $\frac{11}{3} = 3\tfrac{2}{3}$
  Final answer in lowest terms
3. The answer
$\frac{11}{3}$
(6 + 5) / 3 = 11/3
4. Check
- Decimal check: 11/3 ≈ 3.666666667
- As a mixed number: 3 2/3

Transcript

The problem. Here is the problem: (6 plus 5) / 3. Exact arithmetic with fractions (results kept in lowest terms).

Step by step. Add the whole numbers. 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 11 over 3. 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 3 approximately 3.666666667. As a mixed number: 3 2 over 3.

About order of operations

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

Evaluate (6 + 5) / 3: Animated Step-by-Step Lesson