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FractionsArithmeticElementary schoolabout 0:50

Calculate 9/7 + 1/10: animated lesson

A narrated, step-by-step fractions video lesson with captions. Final answer: 97/70.

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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
9/7 + 1/10
2. Step by step
1. $\frac{9}{7} + \frac{1}{10} = \frac{90}{70} + \frac{7}{70}$
  Rewrite both fractions with the least common denominator
2. $\frac{90 + 7}{70} = \frac{97}{70}$
  Add the numerators and keep the denominator
3. $\frac{97}{70} = 1\tfrac{27}{70}$
  Final answer in lowest terms
3. The answer
$\frac{97}{70}$
9/7 + 1/10 = 97/70
4. Check
- Decimal check: 97/70 ≈ 1.385714286
- As a mixed number: 1 27/70

Transcript

The problem. Here is the problem: 9 over 7 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 7 and 10 is 70. Add the numerators and keep the denominator. Final answer in lowest terms.

The answer. So the answer is 97 over 70. 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: 97 over 70 approximately 1.385714286. As a mixed number: 1 27 over 70.

About fractions

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

Calculate 9/7 + 1/10: Fractions Step-by-Step Lesson