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FractionsArithmeticElementary schoolabout 0:52

Calculate 4/13 - 6/3: animated lesson

A narrated, step-by-step fractions video lesson with captions. Final answer: -22/13.

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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
4/13 - 6/3
2. Step by step
1. $\frac{4}{13} - 2 = \frac{4}{13} - \frac{26}{13}$
  Rewrite both fractions with the least common denominator
2. $\frac{4 - 26}{13} = -\frac{22}{13}$
  Subtract the numerators and keep the denominator
3. $-\frac{22}{13} = -1\tfrac{9}{13}$
  Final answer in lowest terms
3. The answer
$-\frac{22}{13}$
4/13 - 6/3 = -22/13
4. Check
- Decimal check: -22/13 ≈ -1.692307692
- As a mixed number: -1 9/13

Transcript

The problem. Here is the problem: 4 over 13 minus 6 over 3. Exact arithmetic with fractions (results kept in lowest terms).

Step by step. Rewrite both fractions with the least common denominator. The LCD of 13 and 1 is 13. Subtract the numerators and keep the denominator. Final answer in lowest terms.

The answer. So the answer is negative 22 over 13. 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 22 over 13 approximately negative 1.692307692. As a mixed number: negative 1 9 over 13.

About fractions

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

Calculate 4/13 - 6/3: Fractions Step-by-Step Lesson