Equivalent Ratios
Are they equivalent?
Solve for x
Simplify ratios
Word Problems
100

Are 7/3 and 14/6 equivalent? 

Yes

100

2/11 and 5:3

NO


100
x/55=6/11

x=30

100

2 goals out of 12 goals

1:6

2/12 can be simplified by dividing by 2 on top and bottom!

100

A math club has 25 members, of which 11 are males and the rest are females. What is the ratio of males to all club members?

11:25

This is part to whole!

200

Are 11/4 and 22/8 equivalent?

Yes

200

5:8 and 20/32

Yes

5x4=20

8x4=32

200

22/x=11/6

x=12

200

12 clips out of 38 clips

6:19

12/38 can be simplified by dividing top and bottom by GCF (2)

200

A group of preschoolers has 15 boys and 12 girls. What is the ratio of girls to boys? Simplified

4:5

12:15 can be reduced down by dividing both sides by 3. 

This is part to part!

300

What is an equivalent ratio to 7/12?

14/24 or 21/36 or 42/72 or 84/144

300

5:12 and 30 to 72

Yes

5x6=30

12x6=72

300

x/35=12/7

x=60

300

80 forks out of 90 forks

8:9

80/90 can be simplified by dividing top and bottom by 10! GCF!

300

A pattern has 4 blue triangles to every 12 yellow triangles. What is the ratio of blue triangles to all triangles?

1:4

4/16 can be simplified! 

Part to whole!

400

Is 5:2 equivalent to 13 to 6?

NO!

400

3/8 and 21:56

Yes

3x7=21

8x7=56

400

9/5=27/x

x=15

400

75 carrots to 200 carrots

3:8


75 divided by 25 is 3

200 divided by 25 is 8

400

Noah drew 22 hearts and 76 circles. What is the ratio of circles to all shapes? 

SIMPLIFIED

38:49

76 divided by 2 is 38

98 divided by 2 is 49

Remember GCF!

Part to whole!

500

What are the next two equivalent ratios to 8/9?

16/18, 24/27

500

15/68 and 45/200 

No

500

84/x=12/5

x=35

500

180 ufos to 600 ufos

3:10

180 divided by 60 is 3

600 divided by 60 is 10

500

Gavin has nickels, dimes, and quarters in the ratio of 8 : 1 : 2. If 30 of Gavin's coins are quarters, how many nickels and dimes does Gavin have?

Gavin has 120 nickels and 15 dimes 

8 nickels (120)

1 dime (15)

2 quarters (30)