Each of the 4 people will receive a fraction [tex]\frac{1}{24}[/tex].
- Initial left over of a cake = [tex]\frac{1}{6}[/tex]
- 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 ([tex]\frac{1}{6}[/tex]) by the number of person to share the cake (4) i.e. [tex]\frac{1}{6}[/tex] ÷ 4
Step 2:
Since we are dividing a fraction ([tex]\frac{1}{6}[/tex]) by a whole number (4), we would need to convert the whole number to a fraction. Hence, 4 becomes [tex]\frac{4}{1}[/tex]
Therefore, we have [tex]\frac{1}{6}[/tex] ÷ [tex]\frac{4}{1}[/tex]
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 ([tex]\frac{4}{1}[/tex]) i.e. (÷) become (x); ([tex]\frac{4}{1}[/tex]) becomes ([tex]\frac{1}{4}[/tex]).
Therefore we have [tex]\frac{1}{6}[/tex] x [tex]\frac{1}{4}[/tex]
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) = [tex]\frac{1}{24}[/tex]
Step 1 to 4 joined together:
= [tex]\frac{1}{6}[/tex] ÷ 4
= [tex]\frac{1}{6}[/tex] ÷ [tex]\frac{4}{1}[/tex]
= [tex]\frac{1}{6}[/tex] x [tex]\frac{1}{4}[/tex]
= (1 x 1) / (6 x 4)
= (1) / (24)
= [tex]\frac{1}{24}[/tex]
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KEYWORDS:
- 1/6 of a birthday cake
- 3 friends
- fraction
- multiplication
- addition
