To understand equivalent fractions, make sure you know the basics of fractions Remember, a fraction is a part of a whole: the denominator (bottom number) represents how many equal parts the whole is split into the numerator (top number) represents the amount of those parts. For example the fraction 1/2 is equivalent to (or the same as) 25/50 or 500/1000.Įach time the fraction in its simplest form is ‘one half’. How do equivalent fractions relate to other areas of maths?Įquivalent fractions are two or more fractions that are all equal even though they different numerators and denominators.When do children learn about equivalent fractions in primary school?.To understand equivalent fractions, make sure you know the basics of fractions.The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. The cookie is used to store the user consent for the cookies in the category "Performance". This cookie is set by GDPR Cookie Consent plugin. The cookie is used to store the user consent for the cookies in the category "Other. The cookies is used to store the user consent for the cookies in the category "Necessary". The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional".
The cookie is used to store the user consent for the cookies in the category "Analytics". These cookies ensure basic functionalities and security features of the website, anonymously. Necessary cookies are absolutely essential for the website to function properly. Our calculator returns the first 10 equivalent fractions found. In case the initial fraction can be simplified, our calculator first simplifies it, using the same algorithm as in our Simplify Fraction Calculator, and then finds equivalent fractions for the simplified fraction. For mixed numbers, our calculator first converts them into improper fraction and all equivalent fractions are presented in the form of improper fractions. Our Equivalent Fractions Calculator finds equivalent fractions for proper and improper fractions, and also for mixed numbers, both positive and negative. 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.
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