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FractionsArithmeticElementary schoolabout 0:42

Calculate 3/12 + 1/10: animated lesson

A narrated, step-by-step fractions video lesson with captions. Final answer: 7/20.

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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
3/12 + 1/10
2. Step by step
1. $\frac{1}{4} + \frac{1}{10} = \frac{5}{20} + \frac{2}{20}$
  Rewrite both fractions with the least common denominator
2. $\frac{5 + 2}{20} = \frac{7}{20}$
  Add the numerators and keep the denominator
3. $\frac{7}{20}$
  Final answer in lowest terms
3. The answer
$\frac{7}{20}$
3/12 + 1/10 = 7/20
4. Check
- Decimal check: 7/20 ≈ 0.35

Transcript

The problem. Here is the problem: 3 over 12 plus 1 over 10. Exact arithmetic with fractions (results kept in lowest terms).

Step by step. Rewrite both fractions with the least common denominator. The LCD of 4 and 10 is 20. Add the numerators and keep the denominator. Final answer in lowest terms.

The answer. So the answer is 7 over 20. 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: 7 over 20 approximately 0.35.

About fractions

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

Calculate 3/12 + 1/10: Fractions Step-by-Step Lesson