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Order of operationsArithmeticElementary schoolabout 0:52

Evaluate 18+2+5-10/8: animated lesson

A narrated, step-by-step order of operations video lesson with captions. Final answer: 95/4.

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. 1. The problem
    Worked example
    18+2+5-10/8
  2. 2. Steps, part 1
    1. 18+2=2018 + 2 = 20
      Add the whole numbers
    2. 20+5=2520 + 5 = 25
      Add the whole numbers
    3. 25−54=1004−5425 - \frac{5}{4} = \frac{100}{4} - \frac{5}{4}
      Rewrite both fractions with the least common denominator
    4. 100−54=954\frac{100 - 5}{4} = \frac{95}{4}
      Subtract the numerators and keep the denominator
  3. 3. Steps, part 2
    1. 954=2334\frac{95}{4} = 23\tfrac{3}{4}
      Final answer in lowest terms
  4. 4. The answer
    954\frac{95}{4}

    18+2+5-10/8 = 95/4

  5. 5. Check
    • Decimal check: 95/4 ≈ 23.75
    • As a mixed number: 23 3/4

Transcript

The problem. Here is the problem: 18 plus 2 plus 5 minus 10 over 8. Exact arithmetic with fractions (results kept in lowest terms).

Steps, part 1. Add the whole numbers. Add the whole numbers. Rewrite both fractions with the least common denominator. The LCD of 1 and 4 is 4. Subtract the numerators and keep the denominator.

Steps, part 2. Final answer in lowest terms.

The answer. So the answer is 95 over 4. 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: 95 over 4 approximately 23.75. As a mixed number: 23 3 over 4.

About order of operations

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

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Evaluate 18+2+5-10/8: Animated Step-by-Step Lesson