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Order of operationsArithmeticElementary schoolabout 1:02

Evaluate (19 - 2) / 6 - 10: animated lesson

A narrated, step-by-step order of operations video lesson with captions. Final answer: -43/6.

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 (0.4 MB) · Captions (WebVTT)

Steps on screen

  1. 1. The problem
    Worked example
    (19 - 2) / 6 - 10
  2. 2. Steps, part 1
    1. 19−2=1719 - 2 = 17
      Subtract the whole numbers
    2. 17÷6=17×1617 \div 6 = 17 \times \frac{1}{6}
      Dividing by a fraction means multiplying by its reciprocal
    3. 17×16=17×11×6=17617 \times \frac{1}{6} = \frac{17 \times 1}{1 \times 6} = \frac{17}{6}
      Multiply numerators and multiply denominators
    4. 176−10=176−606\frac{17}{6} - 10 = \frac{17}{6} - \frac{60}{6}
      Rewrite both fractions with the least common denominator
  3. 3. Steps, part 2
    1. 17−606=−436\frac{17 - 60}{6} = -\frac{43}{6}
      Subtract the numerators and keep the denominator
    2. −436=−716-\frac{43}{6} = -7\tfrac{1}{6}
      Final answer in lowest terms
  4. 4. The answer
    −436-\frac{43}{6}

    (19 - 2) / 6 - 10 = -43/6

  5. 5. Check
    • Decimal check: -43/6 ≈ -7.166666667
    • As a mixed number: -7 1/6

Transcript

The problem. Here is the problem: (19 minus 2) / 6 minus 10. Exact arithmetic with fractions (results kept in lowest terms).

Steps, part 1. Subtract the whole numbers. Dividing by a fraction means multiplying by its reciprocal. Multiply numerators and multiply denominators. Rewrite both fractions with the least common denominator. The LCD of 6 and 1 is 6.

Steps, part 2. Subtract the numerators and keep the denominator. Final answer in lowest terms.

The answer. So the answer is negative 43 over 6. 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: negative 43 over 6 approximately negative 7.166666667. As a mixed number: negative 7 1 over 6.

About order of operations

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

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Evaluate (19 - 2) / 6 - 10: Animated Step-by-Step Lesson