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Order of operationsArithmeticElementary schoolabout 0:54

Evaluate 10 / 4 - 1 + 4: animated lesson

A narrated, step-by-step order of operations video lesson with captions. Final answer: 11/2.

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
    10 / 4 - 1 + 4
  2. 2. Steps, part 1
    1. 52−1=52−22\frac{5}{2} - 1 = \frac{5}{2} - \frac{2}{2}
      Rewrite both fractions with the least common denominator
    2. 5−22=32\frac{5 - 2}{2} = \frac{3}{2}
      Subtract the numerators and keep the denominator
    3. 32+4=32+82\frac{3}{2} + 4 = \frac{3}{2} + \frac{8}{2}
      Rewrite both fractions with the least common denominator
    4. 3+82=112\frac{3 + 8}{2} = \frac{11}{2}
      Add the numerators and keep the denominator
  3. 3. Steps, part 2
    1. 112=512\frac{11}{2} = 5\tfrac{1}{2}
      Final answer in lowest terms
  4. 4. The answer
    112\frac{11}{2}

    10 / 4 - 1 + 4 = 11/2

  5. 5. Check
    • Decimal check: 11/2 ≈ 5.5
    • As a mixed number: 5 1/2

Transcript

The problem. Here is the problem: 10 over 4 minus 1 plus 4. Exact arithmetic with fractions (results kept in lowest terms).

Steps, part 1. Rewrite both fractions with the least common denominator. The LCD of 2 and 1 is 2. Subtract the numerators and keep the denominator. Rewrite both fractions with the least common denominator. The LCD of 2 and 1 is 2. Add the numerators and keep the denominator.

Steps, part 2. Final answer in lowest terms.

The answer. So the answer is 11 over 2. 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: 11 over 2 approximately 5.5. As a mixed number: 5 1 over 2.

About order of operations

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

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Evaluate 10 / 4 - 1 + 4: Animated Step-by-Step Lesson