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### Grade 5 - Mathematics9.1 Ratios

1. A ratio is a way of comparing two quantities by division.
2. It is same as writing fraction.
3. It is written as
 2 to 4 2:4 2/4
4. The ratio of two quantities is expressed in simplest form of that fraction.
5. When writing a ratio involving measurements, both quantities should have the same unit.
Example: What is the ratio of 21 and 35?
This can be written in fraction as 21/35
1. To find the simplest form, we find the HCF of the given quantities
2. Factors of 21 are 1, 3, 7, 21
3. Factors of 35 are 1, 5, 7, 35
4. HCF is 7.
5. Divide both 21 and 35 by 7.
6. The simplest form of this is 3/5.

Example: Express the ratio: 9 goldfish out of 15 as a fraction in simplest form.
9/15 = 3/5
The ratio of goldfish to fish is 3 to 5. This means that for every 5 fish, 3 of them are goldfish.

Example: Express the ratio 2 feet to 18 inches as a fraction in simplest form.
2 feet/ 18 inches
= 24 inches / 18 inches
= 4/3
Written in simplest form the ratio is 4 to 3.

Directions: Answer the following questions. Also write at least ten examples of your own.

 Name: ___________________Date:___________________

### Grade 5 - Mathematics9.1 Ratios

 Q 1: What is the ratio of 6 to 362/31/51/6 Q 2: What is the ratio of 10 to 147/55/71/7 Q 3: What is the ratio of 25 to 105/24/21/3 Q 4: What is the ratio of 35 to 75/15/25/3 Q 5: What is the ratio of 18 to 63/13/33/2 Q 6: What is the ratio of 24 to 361/34/32/3 Q 7: What is the ratio of 80 to 1004/34/44/5 Q 8: What is the ratio of 16 to 124/33/41/2 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!