RATIO.pdf ratio and proportion mathrmetics

This document explain how ratio and proportion works

1. RATIO
AND
PROPORTION

2. RATIO
Is a way of comparing two or more
quantities.

3. 3 FORMS OF RATIO
Word Form Colon Form Fraction form
a is to b a:b
a
b

4. The class of Mrs. Martinez had a culminating activity on the health benefits
of drinking fruit juice and water. They prepared fruit juice and let 40
students choose what to drink. 20 pupils chose to drink mango juice, 12
pupils chose to drink watermelon juice and 8 pupils chose to drink water.
a. What is the ratio of the number of pupils who chose mango juice to the
number of pupils who chose watermelon juice?
b. What is the ratio of the number of pupils who chose water to the
number of pupils who chose mango juice?
c. What is the ratio of the number of pupils who chose mango juice to the
total number of pupils in Mrs. Martinez's class?

5. Equivalent Ratio
Are ratios that make the same are
comparison of numbers. We can get
the equivalent ratio by either
multiplying it to a number, or getting its
lowest term.

6. Proportion Is the statement of equality
between two ratios or fractions. Its part
of a proportion is a term.
Proportion

7. A proportion can be written in two
ways: as two equal fractions
Proportion
a c
b d
=
a:b = c:d

8. 3 kinds of
Proportion

9. 1.Direct Proportion
In direct proportion, when one quantity
increases or decreases, the other
quantity increases or decreases at the
same rate and vice versa.

10. 1.Direct Proportion
Two jeepneys can transport 40 people.
How many jeepneys are needed to
transport 80 people?
Step 1:Identify the quantities used in the
problem.
Step 2: Set up a proportion
Step 3: Find the missing term.

11. 2.Inverse Proportion
In inverse proportion, when one
quantity increases, the other quantity
decreases, and vice versa.

12. 2.Inverse Proportion
If 12 men can finish a work in 9 days, how
many men can finish the same work in 6
days?
Step 1: Identify the quantities used in the problem.
Step 2: Set up a proportion as indirect by interchanging the position of n
horizontally.
.

13. 3.Partitive Proportion
In partitive proportion, a whole is
divided into parts that is proportional
to the given ratio.

14. 3.Partitive Proportion
A glass of jar has 64 chocolates. Jeff, Lea, and
dave will share the chololates in the ratio 1:1:2.
How many chocolates will each one of them get?
Step 1: Find the sum of the ratio.
Step 2: Divide the base by the sum.
Step 3: Multiply each quantity by the
qoutient.

15. Cabanas, Joedi
Cayetano, Kristalyne
Cleto, Airies
Enardisido, AShlee Nicole
Madayag, Rosalie
Thank You!