Solve a problem

FractionsArithmeticElementary schoolabout 0:51

Calculate 9/11 + 5/6: animated lesson

A narrated, step-by-step fractions video lesson with captions. Final answer: 109/66.

SpeedLanguage

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
9/11 + 5/6
2. Step by step
1. $\frac{9}{11} + \frac{5}{6} = \frac{54}{66} + \frac{55}{66}$
  Rewrite both fractions with the least common denominator
2. $\frac{54 + 55}{66} = \frac{109}{66}$
  Add the numerators and keep the denominator
3. $\frac{109}{66} = 1\tfrac{43}{66}$
  Final answer in lowest terms
3. The answer
$\frac{109}{66}$
9/11 + 5/6 = 109/66
4. Check
- Decimal check: 109/66 ≈ 1.651515152
- As a mixed number: 1 43/66

Transcript

The problem. Here is the problem: 9 over 11 plus 5 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 11 and 6 is 66. Add the numerators and keep the denominator. Final answer in lowest terms.

The answer. So the answer is 109 over 66. 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: 109 over 66 approximately 1.651515152. As a mixed number: 1 43 over 66.

About fractions

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

Calculate 9/11 + 5/6: Fractions Step-by-Step Lesson