Number of digits from the end of the decimal to repeat. Our calculator gives you the opportunity to represent repeating decimals by entering a figure into the 'Number of trailing decimal places to repeat' box. You can use our decimal to fraction calculator to check your calculation answers or to get help with figuring out the methodology behind converting a decimal number to a fraction.Īs well as providing a result for your calculation, we also show you how the answer was achieved. Advertisement Using the decimal to fraction calculator One example of an irrational number is pi (3.14159265.) There's just no reasoning with them. These are called "irrational numbers",Īnd with good reason. If you manage to find a number which simply can't become a fraction, then don't be too hard on yourself.
Should you have a whole number at the beginning of your decimal (6.45), you can simply remove it to work out your decimal, then include it again at the end (Example: 6 and 9/20). Find the 'Greatest Common Factor' (the highest number that divides exactly into both the numerator and the denominator).Įxample: Both 45 and 100 are multiples of 5, so we can divide both numbers by 5. Multiply your numerator by 10 / 100 / 1000 (your multiplier from step 1), and then do the same for the denominator.The denominator below the line is always 1, because a decimal is always part of 1. Write out your decimal as the numerator of a fraction (i.e.This will become your multiplier in step 3. Establish whether your decimal is working in tens, hundreds, thousands or more.If your decimal has three digits after the point, then you are working in thousands, If your decimal has two digits after the point, then you will be working in hundreds. If you're looking at a decimal which only has one number after the point, then you are working in tens. 'thousandth' etc., based on its position after the decimal point. The most important thing you need to keep in mind when you want to convert a decimal to a fraction is that a decimal expresses whether something is a 'tenth', a 'hundredth', a Converting a decimal to a fraction - step by step Some decimals are so familiar to us that we can instantly see them as fractions: if your sister is 14.5 years old, you know that she's 14 1/2 if you buy a bag of potatoes weighingĠ.75kg, you know that it's 3/4 of a kilo if you give your sister a 3/4 kilo bag of potatoes for her 18th birthday, you know that your chances of a polite and enthusiastic response areīut what of other less obvious decimals - how can you calculate what 0.45, 0.62 or 0.384 is as a fraction, for example? Here's how. You can then simplify the fraction if needed. To turn it into a fraction, place the 4 over 10, to give 4/10. As an example, for 0.4 you'll find the four is in To convert a decimal to a fraction, take the decimal number and write it as the numerator (top number) over its position value.
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