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FractionsArithmeticElementary schoolabout 0:51

Calculate 11/12 - 10/4: animated lesson

A narrated, step-by-step fractions video lesson with captions. Final answer: -19/12.

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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. The problem
Worked example
11/12 - 10/4
2. Step by step
1. $\frac{11}{12} - \frac{5}{2} = \frac{11}{12} - \frac{30}{12}$
  Rewrite both fractions with the least common denominator
2. $\frac{11 - 30}{12} = -\frac{19}{12}$
  Subtract the numerators and keep the denominator
3. $-\frac{19}{12} = -1\tfrac{7}{12}$
  Final answer in lowest terms
3. The answer
$-\frac{19}{12}$
11/12 - 10/4 = -19/12
4. Check
- Decimal check: -19/12 ≈ -1.583333333
- As a mixed number: -1 7/12

Transcript

The problem. Here is the problem: 11 over 12 minus 10 over 4. Exact arithmetic with fractions (results kept in lowest terms).

Step by step. Rewrite both fractions with the least common denominator. The LCD of 12 and 2 is 12. Subtract the numerators and keep the denominator. Final answer in lowest terms.

The answer. So the answer is negative 19 over 12. 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 19 over 12 approximately negative 1.583333333. As a mixed number: negative 1 7 over 12.

About fractions

Add, subtract, multiply and divide fractions, finding common denominators and simplifying the result.

Calculate 11/12 - 10/4: Fractions Step-by-Step Lesson