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Order of operationsArithmeticElementary schoolabout 0:46

Evaluate 7 - (3 / 10): animated lesson

A narrated, step-by-step order of operations video lesson with captions. Final answer: 67/10.

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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 - (3 / 10)
2. Step by step
1. $7 - \frac{3}{10} = \frac{70}{10} - \frac{3}{10}$
  Rewrite both fractions with the least common denominator
2. $\frac{70 - 3}{10} = \frac{67}{10}$
  Subtract the numerators and keep the denominator
3. $\frac{67}{10} = 6\tfrac{7}{10}$
  Final answer in lowest terms
3. The answer
$\frac{67}{10}$
7 - (3 / 10) = 67/10
4. Check
- Decimal check: 67/10 ≈ 6.7
- As a mixed number: 6 7/10

Transcript

The problem. Here is the problem: 7 minus (3 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 1 and 10 is 10. Subtract the numerators and keep the denominator. Final answer in lowest terms.

The answer. So the answer is 67 over 10. 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: 67 over 10 approximately 6.7. As a mixed number: 6 7 over 10.

About order of operations

Evaluate expressions with brackets, powers, multiplication, division, addition and subtraction in the right order.

Evaluate 7 - (3 / 10): Animated Step-by-Step Lesson