Accounts, stats, engineering, recurring decimal to fraction conversion has found its usage in all walks of life. Uses of Recurring Decimal to Fraction Calculator in Real Lifeįrom baking to banking to chemical experiments, this particular mathematical calculation plays an important role in all of them. And remember, there would've been no online calculators, or any other math calculator for that matter, if fraction simplification was so simple. In the end, it all boils down to how fast you are with simplifying fractions. To confirm, just multiply 738 by 3, add 1 to it and divide the sum by 3, and you'll have 738.33333. The 738 you kept aside will be the reason it becomes a mixed fraction, and you'll have So, working on 0.33333 will give you a fraction of 1/3. Then you work on the given fraction the way you will normally do. That's because in such a case, the number to the left of the decimal point (or the number before the decimal point, whichever way you remember better) is kept aside. Recurring decimal to mixed fraction conversion However, if you have a single digit recurring decimal number such as 738.333333, then, how will you solve this? Sounds tricky? No, remember the rule. In simple words, to find the fractional equivalent of a recurring decimal number, you need to multiply both sides with 10's exponent whose exponential value is equal to the number of recurring digits. In such a case, Recurring decimal to fraction conversion for two recurring digits What if you have a number with two recurring decimal digits, like, 0.21212121. Thus, it is clear that 1/3 is the fractional equivalent of 0.333333īut no, this is the case for a single repeating digit after the decimal. To understand it better, suppose you need to find the fractional equivalent of, say, 0.333333 Recurring decimal to fraction conversion for single recurring digit As mentioned in its name, this calculator computes the conversion of a recurring decimal number into its fractional equivalent. ![]() What is recurring decimal to fraction conversion?īefore we start with the details of the decimal to fraction calculator, let's understand its function first. However, given the fact that time is crucial and there are other tasks to perform too, iCalculator developed the recurring decimal to fraction calculator to help save you time. So, moving on, every calculation you make, the processor will do it way faster, giving you accurate results than you are capable of producing. If the numerator of the simplified fraction is greater than the denominator, the fraction simplifier calculator will additionally display the result of the fraction conversion in mixed number.Everything You Need to Know about Recurring Decimal to Fraction CalculatorĪny guesses how long it will take you to do all those calculations? Right, more than you think. ** For user convenience, our Fraction Simplifier shows the calculated least common multiple (LCM) of numerator and denominator, as well as the decimal expansion of the simplified fraction. * If the greatest common divisor (GCD) = 1, the fraction cannot be simplified and the Fraction Simplifier will display the fraction such as you have entered it. Then, fraction simplifier calculator will divide the numerator and denominator of the fraction by this number. In order to simplify any fraction, our Fraction Simplifier will calculate the greatest common divisor (GCD), also known as the greatest common factor (GCF), or the highest common factor (HCF) of numerator and denominator that you entered. According to this property, any fraction can be replaced by another fraction, equal to the given fraction, but with lesser numerator and denominator. ![]() Our Fraction Simplifier uses the known property of fraction for fraction simplifying.
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