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FractionsArithmeticElementary schoolabout 0:52

Calculate 6/10 - 7/3: animated lesson

A narrated, step-by-step fractions video lesson with captions. Final answer: -26/15.

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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
6/10 - 7/3
2. Step by step
1. $\frac{3}{5} - \frac{7}{3} = \frac{9}{15} - \frac{35}{15}$
  Rewrite both fractions with the least common denominator
2. $\frac{9 - 35}{15} = -\frac{26}{15}$
  Subtract the numerators and keep the denominator
3. $-\frac{26}{15} = -1\tfrac{11}{15}$
  Final answer in lowest terms
3. The answer
$-\frac{26}{15}$
6/10 - 7/3 = -26/15
4. Check
- Decimal check: -26/15 ≈ -1.733333333
- As a mixed number: -1 11/15

Transcript

The problem. Here is the problem: 6 over 10 minus 7 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 5 and 3 is 15. Subtract the numerators and keep the denominator. Final answer in lowest terms.

The answer. So the answer is negative 26 over 15. 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 26 over 15 approximately negative 1.733333333. As a mixed number: negative 1 11 over 15.

About fractions

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

Calculate 6/10 - 7/3: Fractions Step-by-Step Lesson