Final answer:
Each person in the family will get 1/10 of the whole pie when the leftover half pie is divided into 5 equal portions.
Step-by-step explanation:
The question is about dividing 1/2 of a leftover pie into 5 equal pieces to find out what fraction of the whole pie each person would get. To calculate this, you would divide 1/2 by 5, which is the same as multiplying 1/2 by 1/5. This results in 1/10, since (1/2) * (1/5) = 1/10. Therefore, each person would receive 1/10 of the whole pie.
The family initially had a whole pie, but now there's 1/2 left. When they divide this remaining pie into 5 equal pieces, each person receives 1/5 of that portion.
To find the missing denominator for the individual portion of the whole pie, we can multiply the two fractions: 1/2 * 1/5. Multiplying the numerators (1 * 1) gives the new numerator, and multiplying the denominators (2 * 5) gives the new denominator.
The result is 1/10. Therefore, each person gets 1/10 of the whole pie when the remaining 1/2 is divided into 5 equal pieces. In summary, the missing denominator is 10, and the fraction representing each person's share of the original pie is 1/10. This means that if the entire pie was intact, each family member would have received 1/10 of it after dividing the remaining half into equal portions.