MathematicsClass 6Fractions
Equivalent Fractions
Finding fractions that represent the same value by multiplying or dividing numerator and denominator.
Class 6 · MathematicsCBSE & ICSE SOF IMO
Definition
Equivalent fractions are different fractions that represent the exact same value or proportion of a whole. They can be found by multiplying or dividing both the numerator and the denominator by the same non-zero number.
Key formula
a/b = (a * c) / (b * c) where c is not equal to 0
Worked examples
1
1/2 is equivalent to 2/4 because multiplying both the top and bottom of 1/2 by 2 gives 2/4.
2
3/6 is equivalent to 1/2 because dividing both the numerator and denominator by 3 gives 1/2.
Common mistakes
- • Adding or subtracting the same number to the numerator and denominator instead of multiplying or dividing.
- • Multiplying only the numerator while forgetting to multiply the denominator.