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Order of operationsArithmeticElementary schoolabout 0:42

Evaluate 7/(6+2): animated lesson

A narrated, step-by-step order of operations video lesson with captions. Final answer: 7/8.

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
7/(6+2)
2. Step by step
1. $6 + 2 = 8$
  Add the whole numbers
2. $7 \div 8 = 7 \times \frac{1}{8}$
  Dividing by a fraction means multiplying by its reciprocal
3. $7 \times \frac{1}{8} = \frac{7 \times 1}{1 \times 8} = \frac{7}{8}$
  Multiply numerators and multiply denominators
4. $\frac{7}{8}$
  Final answer in lowest terms
3. The answer
$\frac{7}{8}$
7/(6+2) = 7/8
4. Check
- Decimal check: 7/8 ≈ 0.875

Transcript

The problem. Here is the problem: 7/(6 plus 2). 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 7 over 8. 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: 7 over 8 approximately 0.875.

About order of operations

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

Evaluate 7/(6+2): Order of operations Step-by-Step Lesson