Fraction Simplification
Ratio and Fraction Conversion
Challenging Ratio Word Problem
Ratio Equation
Ratio Word Problem
100

11/121

1/11

100

The ratio of red to blue marbles is 3:5.
What fraction of the marbles are red?

3/8

100

Red, blue, and yellow bricks are used to build a wall. The ratio of red to blue to yellow bricks is 3:2:1.
If there are 90 bricks in total, how many bricks of each color are there?

R:B:Y=45:30:15

100

x:6=28:42

x=4
100

12 students play on the school's basketball team and 36 students play on the football team. What is the ratio of basketball players to football players?

1:3

200

10:25

2: 5

200

In a box of crayons, 2/5 are red and 1/5 are blue.
The rest are green.
What is the ratio of red:blue:green crayons?

2:1:2

200

To make lemonade, the recipe says to mix 1/2 cup of lemon juice with 2/3 cup of water.

What is the ratio of lemon juice to water in simplest form?

3:4

200

The ratio of x to 5 is the same as 18 to 30. What is the value of x?

x/5=18/30


x=3

200

The ratio of students with blond hair to students with brown or black hair is 1:2. If there are 212 students with brown or black hair, how many students have blond hair?

106

300

Simplify: 42/14

3:1

300

A scientist mixes chemicals in the ratio 3:4:5 (Chemical A:B:C).
What fraction of the total mixture is Chemical B?

1/3

300

A recipe uses 3/4 cup of cocoa powder and 1 1/2 cups of flour.

What is the ratio of cocoa powder to flour, written as a fraction in simplest form?

1:2

300

12/x=2/3

x=18

300

In a classroom, the ratio of boys to girls is 5:4. If there are 36 students in total, how many are boys and how many are girls?

Boys: 20, Girls 16

400

36/90

2:5

400

The ratio of chocolate to strawberry to vanilla candies is 2:3:7.
What fraction of the candies are not chocolate?

5/6

400

To make salad dressing, mix 3/4 cup of olive oil with 1/2 cup of vinegar.

What is the ratio of olive oil to vinegar? Also, convert it to a ratio with whole numbers.

3:2

400

49/x=196/200

x=50

400

The ratio of fiction to non-fiction books on a shelf is 7:3. If there are 120 books in total, how many are fiction books?

84

500

84/126

2: 3

500

The players on a soccer team are divided by position in a ratio of 4:5:6 (goalies:defenders:forwards).
What fraction of the team are defenders?

1/3

500

For every 1 1/4 cups of sugar, a baker uses 2/3 cup of butter to make frosting.

a) What is the ratio of sugar to butter?
b) If she wants to use 2 1/2 cups of sugar, how much butter will she need?

15:8


4:3

500

The ratio of cats to dogs is 7:5. If there are 24 more cats than dogs, how many of each are there?Write the equation, then solve

2x=24, x= 12. 


Cat: 84,   dog: 60

500

The ratio of cats to dogs in a shelter is 3:2. After 8 more dogs are brought in, the ratio becomes 3:3.
How many cats were in the shelter at first?

24