Answer :
Ok, so first you need to get the fractions to have the same denominator:
1/3 = 2/6 and 1/6 = 1/6
Add the two eaten parts together : 2/6+1/6=3/6
Now, subtract the eaten part ( 3/6 ) from the whole pie ( 6/6 or 1 whole)
6/6 - 3/6 = 3/6
So, he gave half of the pie to his friends because 3/6 = 1/2
Hope this helps! If you have any questions let me know!
1/3 = 2/6 and 1/6 = 1/6
Add the two eaten parts together : 2/6+1/6=3/6
Now, subtract the eaten part ( 3/6 ) from the whole pie ( 6/6 or 1 whole)
6/6 - 3/6 = 3/6
So, he gave half of the pie to his friends because 3/6 = 1/2
Hope this helps! If you have any questions let me know!
The fraction of the pie given to his friend is [tex]\frac{1}{2}[/tex]
- Christine ate [tex]\frac{1}{6}[/tex] of the pie
- Her brother ate [tex]\frac{1}{3}[/tex] of the pie
Further Explanation
The leftover given to his friends will be determined by adding the portion Christine and her brother ate which are [tex]\frac{1}{6}[/tex] and [tex]\frac{1}{3}[/tex] respectively, then subtracted from the whole portion.
= [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{3}[/tex] (The lowest common denominator of 6 and 3 = 6)
= (1 x 1) + (2 x 1) /6
= (1) + (2) / 6
= 1 + 2 / 6
= [tex]\frac{3}{6}[/tex]
Thus, total portion of the pie eaten by Christine and her brother = [tex]\frac{3}{6}[/tex]. Also the fraction of the whole portion of the pie = [tex]\frac{6}{6}[/tex]
Determining the portion given to the friend =
Subtracting [tex]\frac{6}{6}[/tex] – [tex]\frac{3}{6}[/tex]
= [tex]\frac{6}{6}[/tex] – [tex]\frac{3}{6}[/tex] (The lowest common denominator of 6 and 6 = 6)
= (1 x 6) – (1 x 3) / 6
= (6) – (3) / 6
= 6 – 3 / 6
= [tex]\frac{3}{6}[/tex]
= [tex]\frac{1}{2}[/tex] (further broken down to this)
Therefore the fraction given to the friend is [tex]\frac{1}{2}[/tex].
The above mathematical problem is a typical fraction problem which was solved with the aid of some order of operations called BODMAS.
BODMAS simply means Brackets, Of, Division, Multiplication, Addition, Subtraction.
LEARN MORE:
- Numbers: brainly.com/question/2906770
- fraction brainly.com/question/6201432
- What does BODMAS stand for brainly.com/question/9352422
KEYWORDS:
- christine
- pumpkin pie
- bodmas
- dividing
- multiplying
- denominator
