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FractionsArithmeticElementary schoolabout 0:51

Calculate 7/6 + 3/6: animated lesson

A narrated, step-by-step fractions video lesson with captions. Final answer: 5/3.

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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
7/6 + 3/6
2. Step by step
1. $\frac{7}{6} + \frac{1}{2} = \frac{7}{6} + \frac{3}{6}$
  Rewrite both fractions with the least common denominator
2. $\frac{7 + 3}{6} = \frac{10}{6}$
  Add the numerators and keep the denominator
3. $\frac{10}{6} = \frac{5}{3}$
  Simplify
4. $\frac{5}{3} = 1\tfrac{2}{3}$
  Final answer in lowest terms
3. The answer
$\frac{5}{3}$
7/6 + 3/6 = 5/3
4. Check
- Decimal check: 5/3 ≈ 1.666666667
- As a mixed number: 1 2/3

Transcript

The problem. Here is the problem: 7 over 6 plus 3 over 6. Exact arithmetic with fractions (results kept in lowest terms).

Step by step. Rewrite both fractions with the least common denominator. The LCD of 6 and 2 is 6. Add the numerators and keep the denominator. Simplify. Divide numerator and denominator by their GCF, 2. Final answer in lowest terms.

The answer. So the answer is 5 over 3. 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: 5 over 3 approximately 1.666666667. As a mixed number: 1 2 over 3.

About fractions

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

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