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Order of operationsArithmeticElementary schoolabout 1:03

Evaluate 10 + 9 * (8 - 5) / 8: animated lesson

A narrated, step-by-step order of operations video lesson with captions. Final answer: 107/8.

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
    10 + 9 * (8 - 5) / 8
  2. 2. Steps, part 1
    1. 8−5=38 - 5 = 3
      Subtract the whole numbers
    2. 9×3=9×31×1=279 \times 3 = \frac{9 \times 3}{1 \times 1} = 27
      Multiply numerators and multiply denominators
    3. 27÷8=27×1827 \div 8 = 27 \times \frac{1}{8}
      Dividing by a fraction means multiplying by its reciprocal
    4. 27×18=27×11×8=27827 \times \frac{1}{8} = \frac{27 \times 1}{1 \times 8} = \frac{27}{8}
      Multiply numerators and multiply denominators
  3. 3. Steps, part 2
    1. 10+278=808+27810 + \frac{27}{8} = \frac{80}{8} + \frac{27}{8}
      Rewrite both fractions with the least common denominator
    2. 80+278=1078\frac{80 + 27}{8} = \frac{107}{8}
      Add the numerators and keep the denominator
    3. 1078=1338\frac{107}{8} = 13\tfrac{3}{8}
      Final answer in lowest terms
  4. 4. The answer
    1078\frac{107}{8}

    10 + 9 * (8 - 5) / 8 = 107/8

  5. 5. Check
    • Decimal check: 107/8 ≈ 13.375
    • As a mixed number: 13 3/8

Transcript

The problem. Here is the problem: 10 plus 9 times (8 minus 5) / 8. Exact arithmetic with fractions (results kept in lowest terms).

Steps, part 1. Subtract the whole numbers. Multiply numerators and multiply denominators. Dividing by a fraction means multiplying by its reciprocal. Multiply numerators and multiply denominators.

Steps, part 2. Rewrite both fractions with the least common denominator. The LCD of 1 and 8 is 8. Add the numerators and keep the denominator. Final answer in lowest terms.

The answer. So the answer is 107 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: 107 over 8 approximately 13.375. As a mixed number: 13 3 over 8.

About order of operations

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

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Evaluate 10 + 9 * (8 - 5) / 8: Animated Step-by-Step Lesson