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FractionsArithmeticElementary schoolabout 0:48

Calculate 8/3 + 4/8: animated lesson

A narrated, step-by-step fractions video lesson with captions. Final answer: 19/6.

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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
8/3 + 4/8
2. Step by step
1. $\frac{8}{3} + \frac{1}{2} = \frac{16}{6} + \frac{3}{6}$
  Rewrite both fractions with the least common denominator
2. $\frac{16 + 3}{6} = \frac{19}{6}$
  Add the numerators and keep the denominator
3. $\frac{19}{6} = 3\tfrac{1}{6}$
  Final answer in lowest terms
3. The answer
$\frac{19}{6}$
8/3 + 4/8 = 19/6
4. Check
- Decimal check: 19/6 ≈ 3.166666667
- As a mixed number: 3 1/6

Transcript

The problem. Here is the problem: 8 over 3 plus 4 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 3 and 2 is 6. Add the numerators and keep the denominator. Final answer in lowest terms.

The answer. So the answer is 19 over 6. 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: 19 over 6 approximately 3.166666667. As a mixed number: 3 1 over 6.

About fractions

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

Calculate 8/3 + 4/8: Fractions Step-by-Step Lesson