Each of the 4 people will receive a fraction \(\frac{1}{24}\).
- Initial left over of a cake = \(\frac{1}{6}\)
- Number of person to share the cake = 4
Further Explanation
To determine what fraction each person would have to complete the following steps:
Step 1:
We will divide the initial left over of the cake (\(\frac{1}{6}\)) by the number of person to share the cake (4) i.e. \(\frac{1}{6}\) ÷ 4
Step 2:
Since we are dividing a fraction (\(\frac{1}{6}\)) by a whole number (4), we would need to convert the whole number to a fraction. Hence, 4 becomes \(\frac{4}{1}\)
Therefore, we have \(\frac{1}{6}\) ÷ \(\frac{4}{1}\)
Step 3:
To derive final answer it is important we convert the division sign (÷) to multiplication (x), and also exchange the places of the numerator and denominator of the second fraction (\(\frac{4}{1}\)) i.e. (÷) become (x); (\(\frac{4}{1}\)) becomes (\(\frac{1}{4}\)).
Therefore we have \(\frac{1}{6}\) x \(\frac{1}{4}\)
Step 4:
We multiply the numerators of both fractions together, and also do the same to the denominators.
Therefore we have (1 x 1) / (6 x 4) = \(\frac{1}{24}\)
Step 1 to 4 joined together:
= \(\frac{1}{6}\) ÷ 4
= \(\frac{1}{6}\) ÷ \(\frac{4}{1}\)
= \(\frac{1}{6}\) x \(\frac{1}{4}\)
= (1 x 1) / (6 x 4)
= (1) / (24)
= \(\frac{1}{24}\)
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KEYWORDS:
- 1/6 of a birthday cake
- 3 friends
- fraction
- multiplication
- addition
