Reducing the Fraction and Knowing What is 0.5 as a Fraction 

Math is one of the most interesting subjects and one of the best topics that you can ever learn and solve the problems in maths is the fractions. Today in this guide we will be learning about fraction and how to solve the fraction. Besides that, we will be specifically seeing the fraction of 0.5. or solving the query as to what is 0.5 as a fraction? Here will see the different ways and methods the problem is solved and the formulas that are used. Let’s have a look at what is 0.5 as a fraction and what are the ways in which the fraction is reduced to and is there any further reduction that can be done of 1/2 which is the answer to the fraction 0.5. Here you will get to know how we arrived at the answer ½. Now, let’s have a look. 

Simple Fraction Conversion – 

What is 0.5 as a fraction? A fraction is a slice or segment of any quantity out of a whole. The answer of 0.5 as a fraction is written as ½. Let us look at how to convert a decimal number into a fraction.

Elucidation – 

Follow the steps stated underneath to change a decimal number into a fraction.

Step 1> Note down the given number as the numerator and place 1 in the denominator right below the decimal point followed by the number of zeros required accordingly. In this case, 0.5 has one number after the decimal, so, we place 10 in the denominator and remove the decimal point. This will make it 5/10. 

Step 2> Then, this fraction can be simplified. 5/10 = 1/2

Therefore, 0.5 as a fraction is written as 1/2.

The answer is 0.5 as a fraction is equal to 1/2

Clarification – 

First, we change the number to fraction representation of x/y, where both, are positive integers i.e. (x & y). To convert 0.5 into a fraction, count the number of digits after the decimal. As a number of digits is one, multiply and divide the number with 10 raised to power 1.

Like this, 0.5 × 10/10 = 5/10 = ½. Therefore, 0.5 as a fraction is ½

0.5=1/2

Description – 

0.5 =0×100+5×10−1

XXX=0×100+5/10

XXX=5/10

XXX=1/2

0.5=1/2

Description – 

0.5 is said as five-tenths. This is because it is one place that is after the decimal i.e., which is the tenths place. It would then become five-tenths, written as: 5/10. You can then simplify the fraction: 5/10=1/2. This is the outcome, as five can go into itself once and goes into ten twice. Another way of thinking about it is that five is exactly half of ten.

More statistically, 5/10=5/5×2=5/5×1/2=1×1/2=1/2

Well, begin out by assembling a fraction out of what you have 0.5/1

We can really have both the numerator and denominator as integers. Since the denominator in the fraction is now an integer, you need to concentrate on the numerator ( the .5). Multiplying 0.5 by any even number will convert it into an integer as shown below:

• .5 X 2 = 1
• .5 X 4 = 2
• .5 X 6 = 3
• .5 X 8 = 4

Here we can use any of these, but let’s use the first one (2). So, 0.5/1 x 2/2 = ½. This gives us a fraction for 0.5. Slightly of the others would also give us equal fractions, but they would not be in lowest terms. The outcome is 0.5 as a fraction equals 5/10 or 1/2.

Detailed Steps of Converting 0.5 as a Fraction – 

Write 0.5 as 0.5/1. Multiply both the numerator and denominator by 10 for each digit after the decimal point.

So, 0.5/1 = 0.5 x 10/1 x 10 = 5/10. 

So, that to reduce the fraction it is pivotal to search the Greatest Common Factor (GCF) for 5 and 10. Know that a factor is just a number which divides into another number without any remainder.

The factors of 5 are: 1,5 

The factors of 10 are: 1,2, 5, 10 

The Greatest Common Factor (GCF) for both 5 and 10 is: 5

Now to reduce the fraction we divide both the numerator and denominator by the GCF value.

5/10 = 5 ÷ 5/10 ÷ 5 = 1/2

Apart from that, the whole number in the integral part is blank/empty. 

The decimal part is: .5 = 5/10

Full simple fraction breakdown: 50/100 = 5/10 = ½

Level of Exactness – 

The level of exactness is the no. of digits to round to. Select a lower exactness point below to break decimal 0.5 down further in fraction form. The default exactness point is 5. If the last sprawling digit is 5 you can use the round half up and round half down options to round that digit up or down when you change the exactness point.

For instance, 0.875 with a exactness point of 2 rounded half up = 88/100, rounded half down = 87/100.

Round Half Up and Down of the Fraction/Numbers – 

50000/100000

= 5000/10000

= 500/1000

= 50/100

= 5/10

= ½

Suggestions – 

To change decimal into fraction there is no need for decimal to fraction formula but just three simple steps that we need to follow.

• Note down the given decimal without the decimal point as a numerator.
• Take 1 occupied with as many zeroes as is the number of decimal places in the given decimal as a denominator. This form is known as decimal fraction.
• Decrease the fraction in the simplest form.

Full Step-by-Step Answer for the Fraction – 

Here, 0.5 is supposed as five-tenths. It is because it is one place after the decimal. Let’s follow step 1 and 2 tick marked above. The first step is to note down the given decimal without the decimal point as a numerator. And the second step is to take 1 occupied with as many zeroes as is the number of decimal places in the given decimal as a denominator. This form is known as decimal fraction.

Therefore, > 0.5=5/10. The third step is to reduce the above fraction in the simplest form. Therefore, > 0.5=1/2 Hence, the fraction of decimal 0.5 is 1/2.

Kindly see that the decimal fraction is a fraction where the denominator is a power of 10 such as 10, 100, 1000, etc is called decimal fraction. There is additional method to solve this question. Let us write the decimal into its exponent form.

>0.5=0×100+5×10−1. Let us shorten the right-hand side.

That is equal to,> 0.5=0×1+510

Therefore,>0.5=5/10

Convert the above step into its simplest form.

So,>0.5=1/2

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Complete Solution in a Juxtaposed Method – 

0.5 = ½ as a fraction. To convert the decimal 0.5 to a fraction, just trail these steps:

Point 1> Write down the number as a fraction of one:0.5 = 0.5/1

Point 2 > Multiply both top and bottom by 10 for every number after the decimal point. As we have 1 number after the decimal point, we multiply both numerator and denominator by 10. 

So, 0.5/1 = (0.5 × 10)/ (1 × 10) = 5/10

Point 3 > Shorten or in other words reduce the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD (5,10) = 5.

 So, (5÷5)/ (10÷5) = ½, when reduced to the simplest form.

5% as a fraction is: 100/5 or 20/1

5% as a decimal is: 0.05 

Clarification – 

“Percentage” or “%” means “out of 100” or “per 100”. Therefore 5% can be written as 100/5 = 20/1 .20/1 =0.05.