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FractionsArithmeticElementary schoolabout 0:48

Calculate 7/2 + 1/9: animated lesson

A narrated, step-by-step fractions video lesson with captions. Final answer: 65/18.

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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
7/2 + 1/9
2. Step by step
1. $\frac{7}{2} + \frac{1}{9} = \frac{63}{18} + \frac{2}{18}$
  Rewrite both fractions with the least common denominator
2. $\frac{63 + 2}{18} = \frac{65}{18}$
  Add the numerators and keep the denominator
3. $\frac{65}{18} = 3\tfrac{11}{18}$
  Final answer in lowest terms
3. The answer
$\frac{65}{18}$
7/2 + 1/9 = 65/18
4. Check
- Decimal check: 65/18 ≈ 3.611111111
- As a mixed number: 3 11/18

Transcript

The problem. Here is the problem: 7 over 2 plus 1 over 9. 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 9 is 18. Add the numerators and keep the denominator. Final answer in lowest terms.

The answer. So the answer is 65 over 18. 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: 65 over 18 approximately 3.611111111. As a mixed number: 3 11 over 18.

About fractions

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

Calculate 7/2 + 1/9: Fractions Step-by-Step Lesson