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Order of operationsArithmeticElementary schoolabout 1:07

Evaluate 19 / 9 + 8 - 5 * 5: animated lesson

A narrated, step-by-step order of operations video lesson with captions. Final answer: -134/9.

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 / 9 + 8 - 5 * 5
  2. 2. Steps, part 1
    1. 199+8=199+729\frac{19}{9} + 8 = \frac{19}{9} + \frac{72}{9}
      Rewrite both fractions with the least common denominator
    2. 19+729=919\frac{19 + 72}{9} = \frac{91}{9}
      Add the numerators and keep the denominator
    3. 5×5=5×51×1=255 \times 5 = \frac{5 \times 5}{1 \times 1} = 25
      Multiply numerators and multiply denominators
    4. 919−25=919−2259\frac{91}{9} - 25 = \frac{91}{9} - \frac{225}{9}
      Rewrite both fractions with the least common denominator
  3. 3. Steps, part 2
    1. 91−2259=−1349\frac{91 - 225}{9} = -\frac{134}{9}
      Subtract the numerators and keep the denominator
    2. −1349=−1489-\frac{134}{9} = -14\tfrac{8}{9}
      Final answer in lowest terms
  4. 4. The answer
    −1349-\frac{134}{9}

    19 / 9 + 8 - 5 * 5 = -134/9

  5. 5. Check
    • Decimal check: -134/9 ≈ -14.88888889
    • As a mixed number: -14 8/9

Transcript

The problem. Here is the problem: 19 over 9 plus 8 minus 5 times 5. Exact arithmetic with fractions (results kept in lowest terms).

Steps, part 1. Rewrite both fractions with the least common denominator. The LCD of 9 and 1 is 9. Add the numerators and keep the denominator. Multiply numerators and multiply denominators. Rewrite both fractions with the least common denominator. The LCD of 9 and 1 is 9.

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

The answer. So the answer is negative 134 over 9. 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 134 over 9 approximately negative 14.88888889. As a mixed number: negative 14 8 over 9.

About order of operations

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

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Evaluate 19 / 9 + 8 - 5 * 5: Animated Step-by-Step Lesson