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equivalent fractions definition with examples

In this article, we will discuss equivalent fractions. I will also show some examples of equivalent fractions so that it is easy for you to understand. Equivalent fractions are two or more fractions whose values are the same. For example, and are equivalent fractions.

what are equivalent fractions?

You might have heard the term ‘equivalent fractions’ before. Equivalent fractions are simply fractions with the same value, such as and. The numerators and denominators of these two fractions are the same, so they’re considered equivalent. All you need to do is find a common factor that divides into both numbers evenly, in this case, 3 goes into both 12 and 8; therefore, we can multiply together to get 24/24 or 1/1 which makes them equal.
If you divide by a number that doesn’t go into it evenly (for example 5/6), then you’ll get something called an “approximate fraction.” There’s more on approximate fractions later in this article!

How do determine whether two fractions are equivalent or not?

To determine whether two fractions are equivalent or not, use the following steps:

  • Determine which of the following sets of operations will result in a common denominator for both fractions:
  • Use equal numerators and denominators
  • Use same numerator and denominator
  • Use the same numerator but different denominators
  • If there is no common denominator, then the fractions are not equivalent.

how do you find equivalent fractions?

When you’re trying to add or subtract two numbers that are decimals, you can break them down into their parts: a whole number and a decimal. Divide the whole number by the decimal to get a common denominator (the lowest whole number that will divide evenly into both denominators). If you don’t know how to do this mathematically, there’s an easy trick: just multiply the two numbers together! For example, if 12 ÷ .1 = 120, then 12 * .1 = 1.2 and we can see that 12 ÷ .1 is equal to 1/10.

examples of equivalent fraction

  • The fraction of a circle is equivalent to 1/2. This means that if you cut the circle into two equal parts, you get a pie-shaped piece and another small slice that looks like a quarter of another piece. The first one is big enough to be considered half of the circle, while the second one is so small that it can’t be used as a whole anymore (it’s not big enough).
  • If you divide 2 apples between 5 people, each person will get 1 apple. So this is equivalent to 5/2 or 2 1/2 apples in total for all five people combined. In other words, 2 out of 5 = 1 out of 2 = 1 over 2 = ½ × ½ × ½ × ½ × ½ which equals ¼.
  • If your friend gives his house keys to 4 different people and asks them not to lose them because they are very important to him then he has given them each one-fourth part of his original stock! So even though everyone has only got one key each there were originally four keys in total (4) so this means that there would be 4 times more than what each person now has which makes up 80% out of 100%.


In conclusion, I would like to say that fraction  that have the same value. They can be written as two different fractional expressions or two different numerals. For example, we know 1/3=1/4 because both equal 1/12 when written as decimals and mixed numerals (1 + 4) or (1×4).

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