Comparing Fractions
Which is greater: 1/4 or 2/3?
1/3 > 1/4 because when you change them to common denominators (multiply by 3 or 4), 1/3 = 4/12 and 1/3 = 3/12.
1/3 (divide by 7)
16/13
Find the product: 3/5 x 7/9
21/45 divided by 3 = 7/15
Neptune completes 1 ½ turns about its axis each day. How many turns does it complete in 1 week?
10 1/2
Order from least to greatest: 1/3, 1/4, 1/2.
1/4, 1/3, 1/2
A student says that 48/144 simplified is 4/12. Are they correct?
No, 4/12 can be reduced further by dividing by 4 to get 1/3.
The sum of 4/5 and 2/10
8/10 + 2/10 = 10/10 or 1
Find the quotient: 3/4 divided by 1/8
3/4 x 8/1 = 24/4 = 6
The girl’s hockey team won 6 games, lost 3 games, and tied 2 games. What fraction of games did they win?
half
Order from greatest to least: 2/3, 2/4, 1.5
2/4, 2/3, 1.5
True or False: you can find equivalent fractions AND reduce fractions to their smallest form with both multiplication and division.
False: you can only simplify (reduce fractions to their smallest form) using division. You can find equivalent fractions using multiplication, but cannot simplify with multiplication.
The difference between 1 1/2 and 4/12.
1 1/2 = 3/2 x 6 = 18/12
18/12 - 4/12 = 14/12 or 7/6 or 1 1/6.
Find the product: 12/15 x 2/3
24/45 or 8/15
"product" and "twice" are words that indicate this operation is being used in a word problem
multiplication
Which is greater: 4/7 or 20/35?
They are equal. 4/7 is the simplified version of 20/35.
What is 1/5 of 15?
3
The difference between 2 1/3 and 1 5/6
2 1/3 = 7/3 x 2 = 14/6
1 5/6 = 11/6
14/6 - 11/6 = 3/6 or 1/2.
Find the quotient: 4/9 divided by 5
4/9 x 1/5 = 4/45
Chad made a snack by combining 1/3 of a bowl of granola with ¼ of a bowl of chopped banana and ½ of a bowl of yoghurt. Did one bowl hold all of the ingredients at one time? Explain.
First you need to add the fractions of each ingredient. The total is 13/12. Because this is an improper fraction we know that the ingredients fill more than one bowl.
Order from least to greatest: 1 1/2, 1 7/10, 1 3/5
1 1/2, 1 3/5, 1 7/10
What is 2.5% as a fraction and decimal?
1/40 (250/1000) and 0.025
Francis spent ½ of an hour writing a story on his computer and then played games for ¼ of an hour. Then he was called down for dinner.
If he is allowed to be on his computer for a total
of 1 ½ hours per night, how much time does he
have left after dinner?
1/2 + 1/4 = 1/2 x 2 = 2/4 + 1/4 = 3/4
He spent 3/4 of an hour (45 minutes) on his computer before dinner.
1 1/2 - 3/4 = 3/2 - 3/4
3/2 x 2 = 6/4 - 3/4 = 3/4
Francis still has 3/4 of an hour on his computer after dinner. He has only used half his time.
Checking my work:
3/4 of an hour = 45 minutes
1 1/2 = 90 minutes
45 + 45 = 90
About 3/4 of the students on the track team are girls. About 3/4 of these girls are in grade 8. What fraction of the students on the track team are grade 8 girls?
You need to find what ¾ of ¾ is. This is multiplication. The answer is 9/16. So 9 of the grade 8’s are on the team.
Solve: 2 1/2 + 3 3/4 - 1 1/5
5 1/20