what are equivalent fractions

what are equivalent fractions, Equivalent fractions are fractions that represent the same part of a whole or the same value, even though they may look different. In other words, equivalent fractions have the same overall value but are expressed with different numerators and denominators.

Here’s an example:

$2 1$ and $4 2$ are equivalent fractions.

To show that these fractions are equivalent, you can simplify $4 2$ by dividing both the numerator and denominator by their greatest common factor, which is 2:

$4 2 = 4 \div 2 2 \div 2 = 2 1$

So, $2 1$ and $4 2$ are equivalent fractions because they represent the same portion of a whole.

What is Number in Maths – Examples, FAQs

Here are a few methods to find equivalent fractions:

Multiplying or Dividing Numerator and Denominator by the Same Number:
- $2 1$ is equivalent to $4 2$ by multiplying both the numerator and denominator of $2 1$ by 2.

Simplifying Fractions:
- $8 4$ is equivalent to $2 1$ by dividing both the numerator and denominator by their greatest common factor, which is 4.

Cross Multiplication:
- $3 2$ is equivalent to $6 4$ because if you cross multiply (2 * 6 = 4 * 3), you get the same result.

In general, you can create equivalent fractions by multiplying or dividing both the numerator and denominator of a fraction by the same non-zero number.