Improper fraction to Mixed number
Mixed number to improper fraction
Simplify
ratios
Rates
100

5 3/4 

23/4

100

13/5

2 3/5

100

5/15

1/3

100

Scale up the following ratio

2:5

4:10 or 6:15 or 8:20


100

5 dollars for 10 pencils

Rate =

Rate = 5/10

200

3 4/7

25/7

200

18/7

2 4/7

200

90/100

9/10

200

During a winter study, scientists recorded:

  • 6 slab avalanches
  • 4 loose snow avalanches
  • 2 wet avalanches

What is the ratio of slab avalanches to the total recorded.

6:12

200

20cm of snow in 4 hours

what is the unit rate?

20cm/4 hours

unit rate: 5cm/1hour

300

5 2/3

17/7

300

28/3

9 1/3

300

Sam has 45 blocks. He gives away 15 of his blocks

to a friend. What fraction of blocks did he

give away?

15/45 to simplify to 3/9 to then 1/3



300

One season, avalanches were caused by:

  • 8 triggered by people
  • 12 triggered by heavy snowfall
  • 4 triggered by warm temperatures

What is the ratio of people‑triggered avalanches to snowfall‑triggered avalanches?

8:12

300

What is the unit rate?

300km on 20 litres of gas

300km/20 litres of gas

15km/1litre

400

5 4/5

29/5

400

26/4

6 2/4

400

Hudson just finished a half marathon. He ran 18km

of the 21km and walked 3km. What fraction

of the half marathon did he run?

18/21 to then 6/7

400

At a zoo, the ratio of lions to zookeepers is 2 : 3.
If there are 12 zookeepers, how many lions are there?

8 lions

400

Cory bought 20 drinks for $10.

a) What is the unit rate?

b) If Cory bought 50 drinks, how much would it cost him?

A) 20 drinks/10$ unit rate is 2 drinks to 1 dollar

b) 50 drinks, he would spend 25$

2/1 to 50/? you have to times the 1 by 25. 

500

7 3/8

59/8

500

17/2

8 1/2

500

Carter threw 56 pitches in a baseball game.

He threw 42 fastballs and 14 curveballs.

What fraction of fastballs to total pitches did

he throw?

42/56 to then 21/28 to then 3/4

500

At a zoo event, the ratio of tickets sold to volunteers is 15 : 3.
If 60 tickets were sold:

  • How many volunteers were there?
  • What scale factor was used?

Volunteers: 12

Scale factor is 4

500

 On a rainy April day, it rained 27mm in 3 hours.

a) What is the unit rate?

b) If it continued to rain that hard for 9 hours, how many mm of rain would fall?

unit rate is 9mm/1 hour

b) 81mm