If you ’ re looking for the easiest solution for how to write a fraction as a decimal fraction, we ’ ra here to help. here, we ’ ll template you through three elementary ways to convert fractions into decimals .
What Are Fractions?
Fractions have numerators and denominators. Numerators are the top phone number of a fraction and denominators are the bottom numbers. In the under fraction, 2 is the numerator and 6 is the denominator :
part of writing fractions is simplifying them by finding a common agent, the largest number the numerator and denominator can be divided by. In this case, the common factor is 2. here ’ s how the divide simplifies :
Fractions can besides demonstrate division problems. In this case, the numerator will be called the dividend, and the denominator will be called the divisor ( since it ‘s the value being divided ) .
If we were to divide the fraction above, the answer would not be a whole number because 1 is smaller than 3. rather, we would get its decimal form :
now that we understand how fractions work, let ‘s look at how to determine the decimal equivalent of fractions .
How to Write a Fraction as a Decimal Number
The simplest way to convert fractions into decimals is with a calculator. however, many mathematics problems on tests will not allow you to use calculators. so, you need to know how to find the decimal equivalent of fractions by hand .
Method 1: Long Division
here ’ s an model of how to use long division to determine its decimal equivalent. Let ’ s use the following divide :
Let ‘s start by putting this divide into a long division format. The divisor ( 6 ) will be written outside of the right parentheses and the dividend ( 723 ) will be placed within the long part symbol :
We start by determining what respect we must multiply 6 by to get the first value of 7. The answer, which is 1, goes above the long class symbol. We ’ ll subtract the values of 6 adam 1, 6, from 7 :
7 minus 6 is 1. now we will bring the value of 2 from 723 next to the 1. This forms the respect of 12. We find the rate that 6 needs to be multiplied by adequate 12, which is 2 :
Since 6 ten 2 is 12, we subtract 12 from 12 and find a remainder of 0 .
now, we will bring down the value of 3 to our bottom lineage. But since 3 is not divisible by 6, we have to add a 0 above the top 3 followed by a decimal degree. then, we ’ ll bring down an extra zero. Since 6 multiplied by 5 equals 30, we will then put a .5 at the top :
now we know the decimal fraction equivalent of this fraction : 723/6 is 120.5 .
Method 2: Multiply the Denominator
Another way to convert a fraction into a decimal is through generation. here, we ’ ll find the number you can multiply a denominator by to get 100. Let ‘s use this example to demonstrate :
Because 20 multiplied by 5 equals 100, we need to multiply the numerator 13 by 5 a well :
following, we ’ ll take the new value of the numerator, 65, and move the decimal point to the left two places to determined its decimal value :
How to Write a Fraction as a Decimal Number
There are two methods for writing a divide as a decimal ( well, three if you include using a calculator ). You can use long division or find the value the denominator must be multiplied by to get the prize of 100 .
once you ‘ve mastered these methods, the process of turning a divide into a decimal prize is simple — whether you have a calculator or not .
