In mathematics, fractions and decimals are two little but tricky concepts. Often, students have trouble converting fractions to decimals & vice versa. But in the following guide, we will try to make it easy for them and you as well.
With that, there are many internet-based fraction to decimal calculators that instantly turn any fraction to its equivalent decimal notation. One such tool is fraction-online.net, which is a specific platform for simplifying fraction-related problems.
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Let’s get down and learn conversion in brief detail!
Method # 01: Basic Conversion
This method is about the place value understanding. In this mathematical procedure, the numbers after the decimal point define the denominators in the fractions.
Look at the following table:
0 | . | 3 | 2 | 7 |
ones | . | tenths | hundreds | thousandths |
In this table, the number written is 0.327. And when you will say it, it will be like:
0.327 = Three hundred and twenty-seven thousandths
Converting this decimal by considering the place value concept, we have:
0.327 = 327/1000 (Each decimal position defines a new denominator equal to zero ‘0’)
Method # 02: Equivalent Fractions
Method 01 discussed above holds true only when we have the denominators as 10, 100, 1000, 10000, etc. but what about if it becomes any other number, say 20?
In this case, we have the following example:
3/20
Now, putting this fraction into the fraction to decimal calculator can give you instant results with the detailed steps shown. But what about if your goal comes up with manual calculations?
Let’s learn this!
For the fraction 3/20, we have to make our denominator equal to the place value rule. For our fraction, multiplying 20 by 5 will give us 100, which will satisfy the situation.
Now before we begin, remember that the multiplication will be applicable to both the numerator and the denominator. So we have:
= 3*5/20*5
= 15/100
Method # 03 – Long Division
No doubt the above-mentioned ways to convert fractions to decimals are okay, but they do not work in every situation. Sometimes, you have a fraction for which you do not get any equivalent notation, which makes the task difficult.
In such a condition, the method of long division comes into play. This is just a simple division, by putting the numerator inside and keeping the denominator outside the division sign.
For example, we have the fraction 4/30. For this fraction, we have
And it becomes a terminating decimal, such that:
4/30 = 0.133
Method # 04: Using Fraction to Decimal Calculator
This is the most accurate and reliable way when it comes to conversion among fractions and decimals. Using it is straightforward, such as:
- Enter the numerator and the denominator of the fraction in the respective fields of the calculator
- If you have a mixed number, you can insert the whole number as well
- You can also select the decimal accuracy up to the maximum digits
- After you are done with the inputs, tap calculate and there you go
The calculator will not only give you results in less than a second but also show step-by-step computations. It will help you better understand the conversion procedure in detail.
FAQs
What is 1⁄8 as a Decimal?
⅛ = 0.125
How Do You Express 3/4 as a Decimal?
¾ as decimal is about 0.75. You can also convert it with the fraction to decimal calculator.
Fraction to Decimal Chart
The following chart contains all the basic yet important fractions that you might encounter to convert in decimals. Here you will also find their decimal notation.
Fraction | Decimal |
1/2 | 0.5 |
1/3 | 0.333 |
1/4 | 0.25 |
1/5 | 0.2 |
1/6 | 0.166 |
1/7 | 0.142 |
1/8 | 0.125 |
1/9 | 0.111 |
1/10 | 0.1 |
1/12 | 0.083 |
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