Numerical Methods: Calculate 4/5 + 1/3

In summary, the formula for calculating 4/5 + 1/3 is (4*3 + 5*1)/(5*3), which simplifies to 17/15. A calculator can be used to calculate this equation by entering the numbers and pressing the addition button. The equation can be simplified to 17/15 by finding the lowest common denominator and adding the numerators. To check if the answer is correct, you can convert the fractions to decimals and add them. The order of the fractions can be changed when calculating 4/5 + 1/3 because addition is commutative.
  • #1
stunner5000pt
1,461
2
Not a hard question really..

Using 3 - digit arithmetic calculcate 4/5 + 1/3 and compute the relative error

4/5 + 1/3 = 17/15
chopping 4/5 = 0.800 and 1/3 = 0.333
0.800 + 0.333 = 1.133 (chop) 1.13
im assuming that after this point there is no chopping
relative error aboslute value of [tex] \frac{\frac{17}{15} - 1.13}{\frac{17}{15}} = 0.0033[/tex]
and the rleaitve error would be given in 3 siginificant digits?
sp 3.33 x 10^-3 is the relative error?

please tell me if i am right or wrong?

Your help is grealty appreciated!
 
Physics news on Phys.org
  • #2
AM i right in any of these by the way?

Please help/advise/suggest

thank you for your time!
 
  • #3


I can confirm that your calculations and methods are correct. The relative error can be expressed in scientific notation as 3.33 x 10^-3, meaning there is a 0.0033% difference between the actual value and the calculated value. You could also express it as 0.33%, rounding to two significant digits. Overall, your approach is appropriate for calculating and evaluating the relative error in this numerical problem. Great job!
 

1. What is the formula for calculating 4/5 + 1/3?

The formula for calculating 4/5 + 1/3 is (4*3 + 5*1)/(5*3), which simplifies to 17/15.

2. Can a calculator be used to calculate 4/5 + 1/3?

Yes, a calculator can be used to calculate 4/5 + 1/3. Simply enter the numbers in the calculator and press the addition button.

3. Is it possible to simplify 4/5 + 1/3?

Yes, 4/5 + 1/3 can be simplified to 17/15 by finding the lowest common denominator and adding the numerators.

4. How can I check if my answer for 4/5 + 1/3 is correct?

You can check your answer for 4/5 + 1/3 by converting the fractions to decimals and adding them. 4/5 is equivalent to 0.8 and 1/3 is equivalent to 0.33333 (repeating). Adding these decimals gives you 1.13333 (repeating), which is equivalent to 17/15 when simplified.

5. Can the order of the fractions be changed when calculating 4/5 + 1/3?

Yes, the order of the fractions can be changed when calculating 4/5 + 1/3. This is because addition is commutative, meaning the order of the numbers does not affect the result. Therefore, 1/3 + 4/5 will give the same result as 4/5 + 1/3.

Similar threads

Replies
2
Views
367
  • Precalculus Mathematics Homework Help
Replies
1
Views
955
  • General Math
Replies
8
Views
1K
  • Precalculus Mathematics Homework Help
Replies
6
Views
1K
Replies
4
Views
926
Replies
3
Views
325
  • Precalculus Mathematics Homework Help
Replies
3
Views
880
  • Precalculus Mathematics Homework Help
Replies
1
Views
880
  • Set Theory, Logic, Probability, Statistics
Replies
2
Views
756
  • Precalculus Mathematics Homework Help
Replies
3
Views
262
Back
Top