Introduction –
Today in this guide we will be looking at what is 0.5 as a fraction,and how to convert it and solve it and the various methods or ways in which it is calculated. Let’s have a look at what is 0.5 as a fraction – 0.5 as a fraction is written as ½. Let us see how to convert a decimal number into a fraction.
Elucidation: Use the steps mentioned below to convert a decimal number into a fraction.
Step 1: Inscribe 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 shortened further as 5/10 = ½. Thus, 0.5 as a fraction is written as 1/2. Fraction form is when the number is stated as a ratio of a/b where b cannot be zero. Since the number of digits after the decimal is 2, thus, multiply and divide 0.05 with 10 raised to power 2 that is 100.
0.05 * 100/100 = 5/100 = 1/20
Therefore, 0.05 as a fraction is equal to 1/20.
0.5 =1/2.
Justification –
0.5 is said as “five-tenths”. This is because it is one place after the decimal i.e., the tenths place. It would then become five-tenths, written as: 5/10. You would then simplify the faction: 5/10 =1/2. This is because 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 mathematically,
5/10=5
5×2=5×1/2
=1×1
2=1/2
Write 0.5 as
0.5=1
Multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.5
1= 0.5 x 10
1 x 10 = 5/10
In order to reduce the fraction, find the Greatest Common Factor (GCF) for 5 and 10. Keep in mind a factor is just a number that 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
As a side note the whole number-integral part is: empty
The decimal part is: .5 = 5/10
Full simple fraction breakdown: 50/100
= 5/10
= ½
Converting the Decimals into Fraction –
To change decimal into fraction there is no need for decimal to fraction formula but just three simple steps that we need to follow.
Step 1 – Write the given decimal without the decimal point as a numerator.
Step 2- Take 1 appropriated 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.
Step 3 – Decrease the above fraction in the simplest form.
Full Step by Step Answer –
Here, 0.5 is said as five-tenths. This is because it is one place after the decimal. Let us go through steps 1 and 2. The first step is to write the given decimal without the decimal point as a numerator. And the second step is to take 1 appropriated 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.
Point to Note –
Decimal fraction: A fraction where the denominator is a power of 10 such as 10, 100, 1000, etc is called decimal fraction. There is another method to solve this question.
Let us write the decimal into its exponent form.
>0.5=0×100+5×10−1
Let us simplify the right-hand side.
That is equal to,
>0.5=0×1+510
Therefore,
>0.5=510
Convert the above step into its simplest form.
So,
>0.5=12
Steps to convert decimal into fraction
Write 0.5 as
0.5
1
Multiply both numerator and denominator by 10 for every number after the decimal point
0.5 × 10
1 × 10
= 5/10
Reducing the fraction gives ½
Ways of Converting 0.5 as a Fraction Step by Step Method –
Step 1: The first step to converting 0.5 to a fraction is to re-write 0.5 in the form p/q where p and q both are positive integers. To start with, 0.5 can be written as simply 0.5/1 to technically be written as a fraction.
Step 2: Next, we will count the number of fractional digits after the decimal point in 0.5, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.5/1 each by 10 to the power of that many digits. For instance, for 0.45, there are 2 fractional digits so we would multiply by 100; or for 0.324, since there are 3 fractional digits, we would multiply by 1000. So, in this case, we will multiply the numerator and denominator of 0.5/1 each by 10: \frac{0.5 × 10}{1 × 10} = \frac{5}{10}
1×10
0.5×10
= 10/5
Step 3: Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
\frac {5}{10} = \frac {1}{2}
10/5 = 2/1
For more blogs: Simpledos
Full Step-by-Step Procedure or Answer –
Now considering the question you have been asked to convert the given number 0.5 into fractional form. You will have to multiply it with 10 in the numerator and denominator by taking the denominator as 1. After doing this we will have >0.5×101×10=5/10. For further simplifying this expression we need to divide both numerator and denominator by 5. By doing this we will have > (55) (105). Now we will further simplify this fraction and write it as ⇒1/2. Therefore, we can conclude that the given decimal number 0.5 can be expressed in fractional form given as 1/2.