Equivalent Fractions Exam Preparation

During Equivalent fractions exam preparation, it is important to know what is a fraction first.  Fraction is defined as an expression that represents a part of one full object. It can be represented as " p/q " where 'p' represents the numerator and 'q' represents the denominator and ‘q’ not equal to zero.

Equivalent Fractions definition for exam preparation:

Equivalent fractions are fractions that have the equal value or which represent the same part of an object. If an apple is cut into two pieces, each piece is also one-half of the apple. If an apple is cut into 6 pieces, then that three pieces denote the same amount of apple that 1/2 did. We say that 1/2 is equivalent to 3/6.  Equivalent means equal in value. Fraction can look different but they can have same value and hence equivalent. These fractions have the value same,

Example: 1/2 = 3/6= 6/12

Solving Equivalent fractions for exam preparation

Solving Equivalent fractions is one of the most important concept to learn in the Equivalent fractions exam preparation. Certain fundamental rules have to be followed.
Fundamental rules of Equivalent fractions :

To obtain an equivalent fraction of a given fraction, we multiply both numerator and denominator by the same number because it does not change the value of the fraction. It is one of the most important steps used in equaling the fractions.
How to solve Equivalent Fractions:

We can express any given fraction in many different ways:

equivalent fractions

In the figure (i) 1/2, part is shaded. In figure (ii) 2/4 parts is shaded. In figure (iii) 4/8 parts is shaded. In figure (iv) 6/12 parts is shaded.

In all the figures, shaded portions are equal. Therefore 1/2 =2/4 =4/8 =6/12. These type of fractions are called equivalent fractions.

The following examples use the fundamental rules of equivalent fractions which are helpful for equivalent fraction exam preparation:

1. Change 1/3 to twelfths. This problem is  written as follows:

1/3 =? /12

The first step is to find how many number of 3’s are contained in 12. The solution is 4, therefore we know that the multiplier for both terms of the fraction is 4, as follows:

1/3 * 4/4 = 4/12

2. What fraction with a numerator of 9 is equal to 3/5?

9/? =3/5

SOLUTION:

We note that 9 contain 3 thrice; therefore we need to tripple the numerator of the right-hand fraction to make it equivalent to the numerator of the fraction we seek. We can multiply both number of 3/5 by 3, obtaining 15 as the denominator of the new fraction, as follows:

9/15 = 3/5 * 3/3

Few more Equivalent Fractions:

3 / 4 = 6 / 8

1 / 2 = 2 / 4

2 / 3 = 4 / 6

2 / 5 = 4 / 10

2 / 9 = 4 / 18

Simplify the equivalent fraction and examples for exam preparation

Between, if you have problem on these topics Inverses of Functions, please browse expert math related websites for more help on cbse class 11 syllabus.

Simplify the equivalent fraction:

The equivalent fraction can be simplified by finding a number which will divide both the  numerator and the denominator evenly, leaving no remainder .Example, to simplify the fraction  8 / 10 we divide the numerator and denominator by 2. So, 4 / 5 is the simplified fraction for 8/ 10.

Few equivalent fractions that are simplified:

8 / 4 = 4 / 2.
2 / 4 = 1 / 2
3 / 9 = 1 / 3
6 / 3 = 2 / 1 = 2
4 / 6 = 2 / 3.