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FractionsArithmeticElementary schoolabout 0:50

Calculate 9/3 - 1/11: animated lesson

A narrated, step-by-step fractions video lesson with captions. Final answer: 32/11.

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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
9/3 - 1/11
2. Step by step
1. $3 - \frac{1}{11} = \frac{33}{11} - \frac{1}{11}$
  Rewrite both fractions with the least common denominator
2. $\frac{33 - 1}{11} = \frac{32}{11}$
  Subtract the numerators and keep the denominator
3. $\frac{32}{11} = 2\tfrac{10}{11}$
  Final answer in lowest terms
3. The answer
$\frac{32}{11}$
9/3 - 1/11 = 32/11
4. Check
- Decimal check: 32/11 ≈ 2.909090909
- As a mixed number: 2 10/11

Transcript

The problem. Here is the problem: 9 over 3 minus 1 over 11. Exact arithmetic with fractions (results kept in lowest terms).

Step by step. Rewrite both fractions with the least common denominator. The LCD of 1 and 11 is 11. Subtract the numerators and keep the denominator. Final answer in lowest terms.

The answer. So the answer is 32 over 11. 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: 32 over 11 approximately 2.909090909. As a mixed number: 2 10 over 11.

About fractions

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

Calculate 9/3 - 1/11: Fractions Step-by-Step Lesson