Conceptual Flow Chart Showing Equivalence of Fraction?

posted in: | updated on: 25 Sep, 2012

In equivalent Fractions, original values of numerator and denominator of fraction do not get altered even if they are multiplied or divided by some constant factor. Fraction when reduced or increased gives back the same fraction and other Equivalent Fractions too. To understand the concept of equivalent fractions we must know how to apply elementary arithmetic operations like addition, subtraction, multiplication, division, reduction and conversion of fraction. For studying the equivalent fractions we must remember one important thing that there should be only whole Numbers in the numerator and denominator of the fraction.

For getting equivalent fractions for original fraction, we multiply or divide the fraction’s numerator and denominator with identical number. Adding or subtracting numbers from the numerator and denominator of the fraction cannot provide us equivalent fractions. Let us see the conceptual flow chart showing equivalence of fraction as follows:

Original fraction	Equivalent Fractions
1 / 5	2 / 10, 3 / 15, 4 / 20, 10/ 50, 6 / 30, 100 / 500
24 / 20	6 / 5, 12 / 10, 48 / 40, 72 / 60, 240 / 200, 2400 / 2000
1 / 6	6 / 36, 12 / 72, 10 / 60, 2 / 12, 40 / 240, 20 / 120
4 /5	20 / 25, 12 / 15, 48 / 60, 24 / 30, 40 / 50, 40 / 50
2 / 3	6 / 9, 12 / 18, 48 / 72, 4 / 6, 24 / 48, 20 / 30
1 / 4	6 / 24, 2 / 8, 12 / 48, 20 / 80, 10 / 40, 50 / 200
3 / 8	6 / 16, 12 / 32, 48 / 128, 15 / 40, 27 / 72, 30 / 80