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Order of operationsArithmeticElementary schoolabout 1:03

Evaluate 9 + 5 - 5 / (2 * 4): 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
    9 + 5 - 5 / (2 * 4)
  2. 2. Steps, part 1
    1. 9+5=149 + 5 = 14
      Add the whole numbers
    2. 2×4=2×41×1=82 \times 4 = \frac{2 \times 4}{1 \times 1} = 8
      Multiply numerators and multiply denominators
    3. 5÷8=5×185 \div 8 = 5 \times \frac{1}{8}
      Dividing by a fraction means multiplying by its reciprocal
    4. 5×18=5×11×8=585 \times \frac{1}{8} = \frac{5 \times 1}{1 \times 8} = \frac{5}{8}
      Multiply numerators and multiply denominators
  3. 3. Steps, part 2
    1. 14−58=1128−5814 - \frac{5}{8} = \frac{112}{8} - \frac{5}{8}
      Rewrite both fractions with the least common denominator
    2. 112−58=1078\frac{112 - 5}{8} = \frac{107}{8}
      Subtract 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}

    9 + 5 - 5 / (2 * 4) = 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: 9 plus 5 minus 5 / (2 times 4). Exact arithmetic with fractions (results kept in lowest terms).

Steps, part 1. Add 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. Subtract 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.

More lessons like this

Evaluate 9 + 5 - 5 / (2 * 4): Animated Step-by-Step Lesson