1/6 + 2/3 + 1/4 = 2/12 + 8/12 + 3/12 = 13/12 = 1 1/12
True...apex:)!
if you are adding two fractions that are both greater than 1/2, what must be true about the sum?
I have no idea what the "sum" of a fraction means.
For adding fractions, you need to make both denominators the same, then add the numerators. In this case 5/6 and 4/6 have the sum 9/6, which can be simplified to 1 1/2 (fractions are difficult in these answer windows).
Consider a denominator of r; It has proper fractions: 1/r, 2/r, ...., (r-1)/r Their sum is: (1 + 2 + ... + (r-1))/r The numerator of this sum is 1 + 2 + ... + (r-1) Which is an Arithmetic Progression (AP) with r-1 terms, and sum: sum = number_of_term(first + last)/2 = (r-1)(1 + r-1)/2 = (r-1)r/2 So the sum of the proper fractions with a denominator or r is: sum{r} = ((r-1)r/2)/r = ((r-1)r/2r = (r-1)/2 Now consider the sum of the proper fractions with a denominator r+1: sum{r+1} = (((r+1)-1)/2 = ((r-1)+1)/2 = (r-1)/2 + 1/2 = sum{r) + 1/2 So the sums of the proper fractions of the denominators forms an AP with a common difference of 1/2 The first denominator possible is r = 2 with sum (2-1)/2 = ½; The last denominator required is r = 100 with sum (100-1)/2 = 99/2 = 49½; And there are 100 - 2 + 1 = 99 terms to sum So the required sum is: sum = ½ + 1 + 1½ + ... + 49½ = 99(½ + 49½)/2 = 99 × 50/2 = 2475
The sum of those fractions is 9 over 10 or 9/10.
You must convert the fractions to equivalent fractions with a common denominator, which in this case is 20.
1 over 8, and 1 over 4
To determine whether the sum of two fractions with a common denominator is greater than, less than, or equal to 1, you need to add the numerators of the fractions together and compare the result to the common denominator. If the sum of the numerators is greater than the denominator, the sum of the fractions will be greater than 1. If the sum of the numerators is less than the denominator, the sum of the fractions will be less than 1. If the sum of the numerators is equal to the denominator, the sum of the fractions will be equal to 1.
There are infinitely many different ways to make groups of fractions that sum to 1.
The sum of two fractions will be equal to one when the numerator and the denominator of their sum are the same. Example: 1/3 + 2/3 = 3/3 or 1
Change 2/3 to 4/6. Add 1/6. Get 5/6.
That is correct.
True...apex:)!
That their sum is always equal to the denominator.
1/2 + 1/2 = 1
The two fractions are 1/6 and 3/8