Solve the problem

Question

Solve the following problems

1. John reads 48 pages of a book. What part of the book does she read the book has 75 pages?

2. Six out of ten cars were sold. What fractional part of the cars were not sold?

3. Marilou works 8 hours a day. What part of the day does she work?

Answer 1

Certainly! Here are detailed explanations for each answer:

John's Book Reading:

1. John read 48 pages out of a total of 75 pages in the book.
2. The fraction representing the part he read is 48/75.
3. This fraction can be simplified by dividing both the numerator and denominator by 3, resulting in 16/25.

Therefore, John read 16/25 of the book.

Cars Sold:

1. Six out of ten cars were sold, indicating a fraction of 6/10.
2. To find the fraction of cars not sold, subtract this from 1: 1− 6/10.
3. Simplifying the subtraction and fraction, we get 4/10​, which further reduces to 2/5.

Thus, 2/5 of the cars were not sold.

Marilou's Working Hours:

1. Marilou works 8 hours out of a total of 24 hours in a day.
2. The fraction representing the part of the day she works is 8/24.
3. This fraction can be simplified by dividing both the numerator and denominator by 8, resulting in 1/3​.

Therefore, Marilou works 1/3 of the day.

In each case, simplifying the fractions helps express the answers in their simplest form, making it easier to understand the relative proportions.

Answer 2

You can create fractions for each of the questions. Ex: 4 out of 5 would be 4/5.

1. 48 out of 75 is 48/75, but this can be reduced because both can be divided by 3. So the final answer is 16/25.
2. If 6 out of 10 cars were sold, then 4 out of 10 weren't. 4/10 reduces to 2/5.
3. 8 out of 24 is 8/24, but can reduce by dividing by 8. Answer is 1/3.