Christine baked a pumpkin pie. she ate 1/6 of the pie. her brother ate 1/3 of it and gave the leftovers to his friends. what fraction of the pie did he give to his friends?

Verified Answer :

i think it would be 1/2 

The fraction of the pie given to his friend is \(\frac{1}{2}\)

  • Christine ate \(\frac{1}{6}\) of the pie
  • Her brother ate \(\frac{1}{3}\) of the pie

Further Explanation

The leftover given to his friends will be determined adding the portion Christine and her brother ate which are \(\frac{1}{6}\) and \(\frac{1}{3}\) respectively, then subtracted from the whole portion.

= \(\frac{1}{6}\) + \(\frac{1}{3}\) (The lowest common denominator of 6 and 3 = 6)

= (1 x 1) + (2 x 1) /6

= (1) + (2) / 6

= 1 + 2 / 6

= \(\frac{3}{6}\)

Thus, total portion of the pie eaten by Christine and her brother = \(\frac{3}{6}\) . Also the fraction of the whole portion of the pie = \(\frac{6}{6}\)  

Determining the portion given to the friend =

Subtracting \(\frac{6}{6}\) – \(\frac{3}{6}\)

= \(\frac{6}{6}\) – \(\frac{3}{6}\) (The lowest common denominator of 6 and 6 = 6)

= (1 x 6) – (1 x 3) / 6

= (6) – (3) / 6

= 6 – 3 / 6

= \(\frac{3}{6}\)

= \(\frac{1}{2}\) (further broken down to this)

Therefore the fraction given to the friend is \(\frac{1}{2}\).

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KEYWORDS:

  • fractions
  • lowest common denominator
  • pumpkin pie
  • christine
  • numerator
  • numbers