Comparing Fractions
True or False
1/2 < 1/3
False
1/2 = 3/6
1/3 = 2/6
3/6 is greater than 2/6
What is an example of a whole number?
1 1/2, 2 3/4... etc
What is an example of an improper fraction?
10/4, 3/2... etc
When do you need common denominators?
When you are comparing or adding or subtracting fractions that do not have the same denominator.
Carrol has 1/4 of a sour straw. Donald has 2 1/4 of a sour straw. How many sour straws do they have in total?
2 2/4
True or False?
2/3 > 1/4
True
What is a mixed number?
A mixed number has a whole number and a fraction.
What is an improper fraction?
An improper fraction is a fraction whose numerator is larger than the denominator. This means that it is larger than one whole.
What is the common denominator of these two fractions? 1/2 and 3/4
4
Darrell, Nani, and Anita ate an entire pie together. Darrell ate 2/9 of the pie. Anita ate 3/9 of the pie. What fraction of the pie did Nani eat?
Nani ate 4/9 of the pie.
Place in order from least to greatest
1/7 1/3 1/5
1/7 1/5 1/3
If the numerators are the same, then the fraction with the smaller the denominator is smaller.
Convert this mixed number into an improper fraction: 2 3/5
13/5
Convert 2 wholes into fifths. 2/1 = 10/5
Then add 10/5 + 3/5 = 13/5
Convert this improper fraction into a mixed number: 6/3
2
6/3 = 6 divided by 3 = 2
What is the common denominator of these two fractions? 1/5 and 3/4
20
4 friends mow the lawn.
Nate mowed 2/10. Rudy moves 2/8. Marc mowed 1/5. Santos mowed 1/2. Who mowed the most grass?
Santos
Place in order from least to greatest
2/10 2/5 2/7
2/10 2/7 2/5
If the numerators are the same, then the fraction with the larger denominator is smaller.
Convert this mixed number into an improper fraction: 3 1/4
13/4
Convert 3 wholes into fourths. 3/1 = 12/4
Then add 12/4 + 1/4 = 13/4
Convert this improper fraction into a mixed number: 13/5
2 3/5
13/5 = 5/5 + 5/5 + 3/5 = 1 + 1 + 3/5 = 2 3/5
OR
13/5 = 13 divided by 5 = 2 R3 = 2 3/5
Convert these fractions so they have a common denominator: 3/4 and 5/6
3/4 = 9/12 and 5/6 = 10/12
Ruthie has 3 2/5 slices of pizza. Sydney has 17/5 slices of pizza. Who has more pizza?
Trick question! They both have the same amount of pizza.
Place in order from least to greatest
3/5 9/15 6/10
This was a trick question, they are all equivalent!
Convert this mixed number into an improper fraction: 6 5/8
53/8
Convert 6 wholes into eighths. 6/1 = 48/8
Then add 48/8 + 5/8 = 53/8
Convert this improper fraction into a mixed number: 34/7
4 6/7
34/7 = 7/7 + 7/7 + 7/7 + 7/7 + 6/7 = 1 + 1 + 1 + 1 + 6/7 = 4 6/7
OR
34/7 = 34 divided by 7 = 4 R6 = 4 6/7
Convert these fractions so they have a common denominator: 6/8 and 2/6
6/8 = 18/24 and 2/6 = 8/24
Duncan has 2 3/4 pieces of candy. Macbeth has 1 1/2 pieces of candy. How many more pieces of candy does Duncan have?
1 1/4
Convert 1 1/2 = 1 1/4
2 3/4 - 1 2/4. First subtract the fractions: 3/4 - 2/4 = 1/4. Then subtract the wholes: 2 - 1 = 1. Combine the whole and fraction: 1 + 1/4 = 1 1/4