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.
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Here’s an example:
- 12 and 24 are equivalent fractions.
To show that these fractions are equivalent, you can simplify 24 by dividing both the numerator and denominator by their greatest common factor, which is 2:
24=2÷24÷2=12
So, 12 and 24 are equivalent fractions because they represent the same portion of a whole.
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Here are a few methods to find equivalent fractions:
- Multiplying or Dividing Numerator and Denominator by the Same Number:
- 12 is equivalent to 24 by multiplying both the numerator and denominator of 12 by 2.
- Simplifying Fractions:
- 48 is equivalent to 12 by dividing both the numerator and denominator by their greatest common factor, which is 4.
- Cross Multiplication:
- 23 is equivalent to 46 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.