Answered

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Christine baked a pumpkin pie. She ate 1/6 of the pie. Her brother ate 1/3 of it , and gave the left overs to his friends . What fraction of the pie did he gave to his friends?

Sagot :

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! 

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
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