0

# How do you make a decimal into a fraction easy?

Updated: 9/24/2023

Wiki User

8y ago

The procedure depends on whether the decimal is terminating or recurring.

Terminating decimal

• Count the number of digits after the decimal point. Suppose this number is d.
• Write the given decimal, without the decimal point, as the numerator of the fraction.
• Write 1 followed by d zeros as the denominator of the fraction.
• Simplify, if required and if possible.

For example,

If you have 5.679, then d = 3

So the fraction is 5679/1000 which cannot be simplified.

Recurring decimal

• This is not quite as simple. Write f = fraction.
• Count the length of the string that repeats (s).
• Calculate f*10^s, that is f time the number which is 1 followed by s zeros.
• Subtract the first equation from the second, solve and simplify, if possible.

For example,

Suppose f 1.4636363... with the string "63" repeating. Therefore s = 2

So 100f = 146.3636363...

Subtracting gives 99f = 144.9

And so f = 144.9/99 = 1449/990 = 161/110.

Wiki User

9y ago

Wiki User

8y ago

Say it out loud 0.37 = thirty-seven hundredths = 37/100

Earn +20 pts
Q: How do you make a decimal into a fraction easy?
Submit
Still have questions?
Related questions

### How do you make a quotient into a decimal?

Every fraction is an exercise in division. The top number (numerator) is divided by the bottom number (denominator). If you perform the calculation (which is easy if you have a calculator) then the answer appears in the form of a decimal fraction.

### How to write a mixed fraction as a decimal?

Writing a mixed fraction as a decimal is easy. You will have to multiply both top and bottom by 10.

### How do you make 5 into a fraction and a decimal?

5 = 5/1 into fraction and 5.0 in decimal

### What is 4 over five as a decimal?

The answer is .8 an easy way to make a fraction that is something over five is just double your numerator.

divide

### How do you make a negative fraction to a decimal?

You convert the fraction do decimal exactly as you would a positive fraction. Then you stick a minus sign in front.

### How do you make 4.196 as a fraction and decimal?

4.196 is already a decimal number4.196 = 4196/1000 or 1049/250 in fraction

### What is one tenths decimal as a fraction?

that's easy it's 1/10

### How do you convert a negative mixed number into a decimal?

If you know how to turn a mixed number into a fraction and a fraction into a decimal do that then make it negative.

### How do you make 0.0059 as a decimal or a fraction?

I would make it as a decimal. To do that, you need do absolutely nothing! 0.0059 - and that's it!

### How do you make a fraction into a dismal?

To make a fraction into a decimal, you divide the numerator of the fraction by the denominator. The numerator is the number on top, and the denominator is the number on the bottom of the fraction.

### How do I make a fraction into a decimal?

Divide the denominator into the numerator.