Equivalent Fractions

Equivalent fractions as the name suggests are fractions having the same value though might appear as different fractions. For example: 3/4, 6/8, 12/16, are equivalent fractions, on simplification all the fractions have the same value 3/4.

Let us now learn how to find equivalent fractions. We can find equivalent fractions by multiplying both the numerator and the denominator of a given fraction with the same number

Representation of a Equivalent Fractions

  5/6, equivalent fractions       5 x 2/ 6 x 2 = 10/12
    5 x 3/ 6 x 3 = 15/18 and so on
What are equivalent fractions? Equivalent fractions are those fractions got by multiplying the numerator and the denominator of a fraction with the same number, like in
              4/7 = 8/14 = 12/21 are some equivalent fractions
How to find equivalent fractions? There is a very simple method to find the equivalent fractions, we just multiply or divide with the same number both in the numerator and the denominator of a given fraction

Examples:           
            18÷3/36÷3 =  6÷6/12÷6 = 1/2
            3x2/7x2 = 6x3/14x3 =18/42
What is an equivalent fraction? An equivalent fraction is a fraction which has the same value as the given fraction but looks different. For example, 7/8 and 14/16 are equivalent fractions whose value is 7/8
Fraction equivalents are the fractions with the same value, but appear different. We can get equivalent fractions either by multiplying or dividing the numerator and the denominator of a fraction with the same number.

Example:
            1/3 = 1x3/3x3= 9÷9/27÷9, are equivalent fractions with the same value 1/3 on simplification
Let us learn as to how to do equivalent fractions. To get an equivalent fraction we need to follow certain rules,
The numerator and the denominator of the fraction should be whole numbers (no complex fractions)
What we divide by must divide the numerator and the denominator of the fraction evenly, there should not be any remainders

To get an equivalent fraction, we either multiply or divide but not add or subtract
For example:
 x/3 =8/12 are equivalent fractions, find x
Solution:  8/12 = 2x4/3x4
= 2/3
x/3 = 2/3
x = 2