If one chappathi is divided equally between two people then, each one will get half a chappathi. The fraction half, is written as 1/2. Here, 1 is the numerator and 2 is the denominator.

**Equivalent
fractions**

If
one chappathi is divided equally between two people then, each one will get
half a chappathi. The fraction half, is written as 1/2. Here, 1 is the
numerator and 2 is the denominator.

The
same chappathi is divided into four equal parts. Two parts were given to each
person. This is shown as 2/4. Here 2 is the numerator and 4 is the denominator.

It
means that the value of two fractions is the same. That is, 1/2 = 2/4

Such
fractions of equal value are called equivalent fractions.

**Obtaining
equivalent fractions**

Two
of the five equal parts in the figure are coloured. The coloured part is 2/5 of
the whole figure.

When
two lines are drawn horizontally in the same figure, the figure gets divided
into 15 equal parts. So, the fraction that shows the coloured part now has
changed. Now, the fraction of the coloured part is 6/15 but coloured size is
the same.

Two
figures that have the same size are called equivalent fractions.

Therefore,
we see that 2/5 = 6/15

When the numerator and
denominator of a fraction are multiplied by the same non-zero number, we get a
fraction that is equivalent to the given fraction.

__Example 6.4__

Find a fraction with denominator 20
which is equivalent to 2/5 .

**Solution**

2/5 = /20 We must find the right
number for the box.

Here, 4 times the denominator 5 is 20,
so multiply the numerator also by 4

Therefore,

2/5 = 2×4 / 5×4 = 8/20

Hence, the fraction 8/20 is equivalent
to 2/5.

** **

__Example 6.5__

Find a fraction equivalent to 8/20
with denominator 5.

**Solution**

8/20 = /5. We
must find the number for the box.

In
both the fractions denominator is given, that is 20 and 5.

Here,
we get 5 in one of the fractions if we divide 20 (denominator of the other
fraction) by 4.

So,
we can get the required number (in box), if we divide 8 by 4.

That is 8 ÷ 4 = 2

Therefore 8/20 = 8÷4 / 20÷4 = ** 2**/5

Thus, the fraction 2/5 is equivalent
to the fraction 8/20.

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 : Equivalent fractions | Fractions | Term 3 Chapter 6 | 5th Maths

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