Finds a number corresponding to a part of collection in the form of fractions. To identify the terms like numerator and denominator.

__UNIT−6__

__FRACTIONS__

**Compare fractions**

** **

**Finds a number corresponding to a part of collection in the form
of fractions**

**Situation**

Radhika bought a chocolate bar, which
is divided into 8 pieces. She wants to share it with his brother Tharun. She
gave him 2 parts out of 8 parts. But he denied to have
that. He needed more. Then she gave him 3 out of 8 parts,
which was also refused by him. So she finally decided to give him 4 out of 8
parts. Again, he was not willing to take. He wants more. But she explained him that
she had given him equal share only.

**Consider the above situation. How will
you express 2 out of 8 parts mathematically?**

2/8 Isn’t it?

How will you express 3 out of 8 parts?

3/8 Isn’t it?

Here, 2/8 and 3/8 are fractions.

Fraction is a part of a
whole or collection.

__Example 6.1__

Given below is a collection of 7
stars,

How will you represent the shaded and
unshaded stars given above as fractions?

**Solution **

Total stars = 7

Shaded stars =5

Unshaded stars = 2

Fraction of the shaded stars = 5/7

Fraction of the unshaded stars = 2/7

**Try these**

**Try these**

i. Represent the crossed out part as a fraction.

**Answer: **2/5

ii. Represent the figures that are outside the circle as a
fraction.

**Answer: **2/5

** **

**To identify the terms like numerator and denominator.**

Consider the same situation. In 2/8,
the number above the line represents the numerator that is ‘2’ and the number
below the line represents the denominator, that is ‘8’. The small line that is
inbetween the top number and bottom number is the division bar.

**Try these**

i. In 3/7, ** 3** is the
rumerator and

ii. In 6/10, ** 6** is the
rumerator and

**To compare different
simple fractions**

Consider the same situation

__In the first sharing__

Radhika’s share = 6 / 8

Tharun’s Share = 2 / 8.

Who gets more pieces of chocolate?

Radhika will get more pieces of
chocolate.

How do you know that?

By comparing the numerator. Denominator
is equal here in both the fractions.

Check the Numerator: 2 < 6 (or) 6
> 2.

Therefore,

2/8 < 6/8 (or) 6/8> 2/8

__Example 6.2__

Represent the following figures in
fraction, compare them and say which is greater ?

**Solution**

Fraction represented in fig (i) is 3/5
and the fraction represented in fig (ii) is 2/5.

As the denominators in both the
fractions are equal, checking the numerator, we get, 3 > 2.

Therefore, 3/5 > 2/5

__Example 6.3__

Write the following figures in
fractions and say which is smaller?

**Solution**

Fraction represented in fig(i) is 3/4
.

Fraction represented in fig(ii) is 1/4
.

As the denominators in both the
fractions are equal, checking the numerator, we get 1 < 3.

Therefore,

1/4 < 3/4

Tags : Fractions | Term 3 Chapter 6 | 5th Maths , 5th Maths : Term 3 Unit 6 : Fractions

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5th Maths : Term 3 Unit 6 : Fractions : Compare fractions | Fractions | Term 3 Chapter 6 | 5th Maths

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