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FractionsArithmeticElementary schoolabout 0:47

Calculate 9/2 - 6/8: animated lesson

A narrated, step-by-step fractions video lesson with captions. Final answer: 15/4.

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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
9/2 - 6/8
2. Step by step
1. $\frac{9}{2} - \frac{3}{4} = \frac{18}{4} - \frac{3}{4}$
  Rewrite both fractions with the least common denominator
2. $\frac{18 - 3}{4} = \frac{15}{4}$
  Subtract the numerators and keep the denominator
3. $\frac{15}{4} = 3\tfrac{3}{4}$
  Final answer in lowest terms
3. The answer
$\frac{15}{4}$
9/2 - 6/8 = 15/4
4. Check
- Decimal check: 15/4 ≈ 3.75
- As a mixed number: 3 3/4

Transcript

The problem. Here is the problem: 9 over 2 minus 6 over 8. Exact arithmetic with fractions (results kept in lowest terms).

Step by step. Rewrite both fractions with the least common denominator. The LCD of 2 and 4 is 4. Subtract the numerators and keep the denominator. Final answer in lowest terms.

The answer. So the answer is 15 over 4. 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: 15 over 4 approximately 3.75. As a mixed number: 3 3 over 4.

About fractions

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

Calculate 9/2 - 6/8: Fractions Step-by-Step Lesson