I - Fraction Word Problems

Explanation
Kelly spent 1/2 of her money on a DVD and 1/6 of her money on a new popcorn maker. To find the fraction of her money she spent all together, we need to add these two fractions. To add fractions, we need a common denominator. The common denominator of 2 and 6 is 6. So, we can rewrite 1/2 as 3/6 and 1/6 as 1/6. Adding these fractions, we get 3/6 + 1/6 = 4/6. Therefore, Kelly spent 4/6 of her money all together.

Explanation
Jamie used 1/4 of the tape to wrap his hockey stick and 1/8 of the tape to fix a hole in his hockey bag. To find out how much tape is left, we need to subtract the fractions used from the total length of the tape. The common denominator for 1/4 and 1/8 is 8. So, 1/4 can be written as 2/8 and 1/8 remains the same. Adding these fractions together, we get 2/8 + 1/8 = 3/8. To find the fraction of tape left, we subtract 3/8 from the whole tape length of 1 meter, which gives us 5/8 meter.

Explanation
The fraction of markers that had black ink is 1/12. This can be determined by subtracting the number of markers with green and red ink from the total number of markers. Since there were 7 markers with green ink and 15 markers with red ink, the total number of markers with green or red ink is 7 + 15 = 22. Therefore, the number of markers with black ink is 24 - 22 = 2. So, the fraction of markers with black ink is 2/24, which can be simplified to 1/12.

Explanation
Mark has more chocolate bars left because he ate a smaller fraction of his chocolate bars compared to Chris. Mark ate 1/5 of his chocolate bars, which means he still has 4/5 of his chocolate bars left. On the other hand, Chris ate 1/4 of his chocolate bars, which means he only has 3/4 of his chocolate bars left. Therefore, Mark has more chocolate bars remaining.

Explanation
Out of the 40 students who made the student council, 5/8 of them were girls. To find the number of boys, we need to subtract the number of girls from the total number of students. If 5/8 of the students were girls, then 3/8 of the students must be boys. Therefore, the number of boys who made the student council is 3/8 of 40, which is equal to 15 boys.

Explanation
Mary took 3 1/4 hours to complete the race, while Holly took 2 1/2 hours. To find out how much longer Mary took, we need to subtract Holly's time from Mary's time. By converting both times to a common denominator, we get Mary's time as 13/4 hours and Holly's time as 5/2 hours. Subtracting the two, we get (13/4) - (5/2) = 13/4 - 10/4 = 3/4. Therefore, Mary took 3/4 hour longer than Holly to complete the race.

Explanation
Hank went to the cider mill and the cost for one pound of apples is 1 1/2 dollars. To find out how much it would cost for 3 pounds of apples, we need to multiply the cost of one pound by 3. 1 1/2 dollars multiplied by 3 is equal to 4 1/2 dollars. Therefore, it would cost 4 1/2 dollars for 3 pounds of apples.

Explanation
Lydia ate 4/5 of a pizza and Mark ate 1/10 of a pizza. To find out how much they ate all together, we add the fractions. When we add 4/5 and 1/10, we get a common denominator of 10. Adding the numerators, we get 8/10. Therefore, Lydia and Mark ate 8/10 of a pizza together, which can be simplified to 4/5 or 9/10. So, the correct answer is 9/10 of a pizza.

Explanation
Zach scored better on the test because he got 4/5 of the test correct, which is a higher percentage than John's score of 5/8.

Explanation
After Mrs. Estes ate 1/12 of the brownies and gave 7/12 to her neighbor, there were 4/12 (or 1/3) of the brownies left in the pan. Therefore, the fraction of brownies left in the pan is 1/3.