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And since you are not changing the value of the fraction by doing this, you will create an equivalent fraction.

That is, we got the fraction 3/4, which is obviously equivalent to the original fraction 6/8 = (6:2) / (8:2) = 3/4.Īs we can see from above examples, we can multiply or divide both the numerator and denominator of a fraction by the same whole number. If now we consider each pair of these parts as a single object, then it turns out that the whole is divided into 4 such objects (new parts) and we took 3 of these 4 objects. On the other hand, if we take the fraction 6/8, then it means that we are dealing with 6 parts out of 8 into which the whole is divided. So, we will get the fraction 4/6 which obviously equivalent to 2/3 = (2×2)/(2×3) = 4/6. Then the previously taken 2 parts of the 3 that made up the whole will turn into 4 parts of the 6 parts, into which the whole is divided now. But if we divide additionally each third of the whole by 2, then we get that the whole is now divided into 6 parts, and not into 3. Indeed, multiplying the numerator and denominator of a fraction by the same non-zero number gives a fraction that is equivalent to the original fraction. Equivalent fractions are defined as fractions with different numerators and denominators that represent the same part of a whole.