Learning Objectives
● To understand the concept of ratio.
● To use ratio notation and simplify ratios.
● To divide a quantity into two parts in a given ratio.
● To recognise the relationship between ratio and proportion.
● To use the unitary method and solve simple ratio problems.

__Chapter 3__

__RATIO AND PROPORTION__

** **

**Learning Objectives**

● To understand the concept of ratio.

● To use ratio notation and simplify ratios.

● To divide a quantity into two parts in a given ratio.

● To recognise the relationship between ratio and
proportion.

● To use the unitary method and solve simple ratio problems.

__Recap__

**1. Which of the following fractions is not a proper
fraction?**

**(a) 1/3 **

**(b) 2/3 **

**(c) 5/10 **

**(d) 10 /5**

**Answer: (d) 10 / 5**

**2. The equivalent fraction of 17 is _________.**

**(a) 2/15 **

**(b) 1/49 **

**(c) 7/49 **

**(d) 100 /7**

**Answer: (c) 7 / 49**

**3. Write > ,< or = in the box.**

(i) 5/8 > 1/10

(ii) 9 /12 = 3/4

**4. Arrange these fractions from the least to the
greatest : 1/2 , 1/4 , 6/8 , 1/8**

**Solution:**

By taking LCM of denominators 2, 4, 8, 8

L.C.M = 8

Now 1/2 × 4/4 = 4/8; [1 × 2] / [4 × 2] = 2/8

Lem

LCM = 2 × 2 × 2 = 8
4/8, 2/8, 6/8, 1/8

Least to greatest = = 1/8, 2/8, 4/8, 6/8 = 1/8, 1/4, 1/2, 6/8

**5. Anban says that 2/6 th of the group of triangles
given below are blue. Is he correct?**

** **

**Answer: **Wrong. 4/6 are blue, 2/6 are green

**6. Joseph has a flower garden. Draw a picture which
shows that 2/10 th of the flowers are red and the rest of them are yellow.**

**Solution:**

2/10 = Red and 8/10 = Yellow

**7. Malarkodi has 10 oranges. If she ate 4 oranges,
what fraction of oranges was not eaten by her?**

**Solution: **

Total Oranges =10

Malarkodi ate = 4

Balance = 6 (10 − 4)

Fraction of oranges not eaten by her = 6/10

**8. After sowing seeds on day one, Muthu observes
the growth of two plants and records it. In 10 days, if the first plant grew 1/4
th of an inch and the second plant grew 3/8 th of an inch, then which plant grew
more?**

**Solution:** height of plant −I = 1/4 inch

height of plant − II = 3/8 inch

make them equal denominator

1/4 × 2/2 = 2/8

Now Plant –I = 2 / 8

Plant −II = 2/8

2/8 > 2/8 So plant − II grew more

__Introduction__

In our daily life, we handle lots of situations
where we compare quantities. Comparison of our heights, weights, marks secured in
examinations, speeds of vehicles, distances travelled, auto fare to taxi fare, bank
balances at different periods of time and many more things are done. Comparison
is usually between quantities of the same kind and not of different kind. It will
not be meaningful to compare the height of a person with the age of another person.
Also, we need a standard measure for comparison.

This sort of comparison by expressing one quantity
as the number of times the other is called a ‘Ratio’.

**MATHEMATICS ALIVE – RATIO IN REAL
LIFE**

Tags : Term 1 Chapter 3 | 6th Maths , 6th Maths : Term 1 Unit 3 : Ratio and Proportion

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6th Maths : Term 1 Unit 3 : Ratio and Proportion : Ratio and Proportion | Term 1 Chapter 3 | 6th Maths

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