Comparing Fractions/ Fraction Landmarks
Replace the blank with < , > , or =
1/4 ____ 1/5
1/4 > 1/5
What is 8 x 1/4?
2
What is 28 3/4 as an improper fraction?
115/4
Add the fractions and write it as an improper fraction. Then turn it into a mixed number.
1/5 + 3/5 + 4/5 + 18/5 + 22/5 =
Improper fraction: 48/5
Mixed number: 9 3/5
Explain how to change 11/4 into a mixed number
11/4 is an improper fraction. We know that 4 goes into 11 2 times. 4 x 2 = 8. to get to 11, we need to add 3 more. So the mixed number is 2 3/4
Write these fractions in order from least to greatest: 1/7, 1/1, 1/10, 1/3, 1/2,
1/10, 1/7, 1/3, 1/2, 1/1
There were 24 kids in a class. Two-thirds of them were boys. What number of the kids were girls?
8 girls
Write 208/9 as a mixed number
23 1/9
On Monday, two of the workers at a farm filled a basket with ripe tomatoes. Miles picked 15 1/6 pounds of tomatoes and Anna picked 13 5/6 pounds of tomatoes. How many more pounds of tomatoes did Miles pick than Anna?
P = 15 1/6 - 13 5/6 P = 1 2/6
Miles picked 1 2/6 more pounds of tomatoes than Anna
What is the top and bottom number of a fraction called?
Numerator and denominator
Write three different fractions that are equivalent to 2/4
Answers will vary. Possible answers include: 4/8, 6/12, 5/10 etc.
There are 20,000 people in a stadium. Half of them were male. Half of the males wore baseball hats. How many males were wearing baseball hats?
5,000
Turn 119/4 into a mixed number
29 3/4
Raul ran 4/5 mile on Tuesday. He ran 4 times as far this Saturday. How far did Raul run on Saturday?
4 x 4/5 = 16/5 =3 1/3 miles
When comparing two different fractions of a pizza that's the same size, how can you tell which fraction is larger?
Assuming the pizza is the same size, the fraction with a smaller denominator is larger because it's divided into less parts. For example, 2/8 of a pizza is smaller than 1/3 because I'm sharing the pizza with more people.
Michael ordered a pizza and ate 4/8 of it. Kari ordered the same pizza and ate 3/4 of it. Who ate more pizza? How do you know?
Kari ate more because she ate 3/4 of the pizza (that is divided into fourths). If we made this equivalent to 8 slices instead of cut into fourths, she would have eaten 6/8 slices which is greater than 4/8.
There are 24 kids in a class. One third of them went to the library, and one fourth of them went to the garden. The rest stayed in the classroom. How many kids stayed in the classroom?
10 kids stayed in the classroom
24/3 = 8 students went to the library
24/4 = 6 went to the garden
8+6 = 14. 24-14 = 10
Turn 32 3/5 into an improper fraction
163/5
There is 3/4 of a gallon of punch in a bowl. Katie added some punch. Now there is 2 1/4 gallons in the bowl. How much did Katie add?
2 1/4 - 3/4 = 1 2/4 gallons or 1 1/2 gallons
what does the phrase "sum of a unit fraction" mean?
it's when you add all the unit fractions together to represent a given fraction.
for example, 1/4 + 1/4 + 1/4 is the sum of a unit fraction that represent 3/4
Kyle's shoe is 3/4 foot long. He used his shoes to measure his bedroom and found that it was 18 shoes long. What is the length of his bedroom in feet?
Michael's shoe is 5/8 foot long. He did the same experiment and found out that his room is 16 shoes long. Is his room longer than Kyle's? how do you know?
Michael's room is shorter because his bedroom is 10 feet long.
9/10 of dentists recommend using a special toothbrush and 8/10 recommend a specific toothpaste. If there are 100 dentists at a meeting, how many of them would recommend using the special toothbrush? How many would recommend the specific toothpaste?
90 would recommend the toothbrush and 80 would recommend the toothpaste.
turn 243/7 into a mixed number
34 5/7
Enrique lives with his grandmother in an apartment building for senior citizens. He earns extra money by running errands for some of his grandmother's neighbors. He changes $2 for every 1/4 hour he spends working.
He spent 2/4 hour going to the deli, 1 1/4 hours delivering papers, and 3/4 hour picking up groceries. Did Enrique earn enough money to buy an $18 DVD? Explain.
Yes, because he earned $20
2/4 hour ($2 + $2) Deli earnings = $4
1 1/4 hour ($2 +$2 +$2+$2 = 1 hour + $2 (another 1/4 hour) total paper earnings = $10
3/4 hour ( $2 +$2+$2) grocery earnings = $6
Let's say you are given a fraction and your teacher says to write it as a product of a whole number and unit fraction. What does she mean by this? provide an example.
An example would be 6 x 1/8 would represent 6/8 because I am multiplying a whole number (6) to a unit fraction (1/8) to find the product of the fraction that it represents (6/8).