Converting decimals into fractions is an important part of mathematics that you should know. It has many practical uses. There are some rules to follow to convert decimal into fraction and the reverse process. If you are wondering how to represent 0.95 as a fraction, this write-up will assist you.
About fraction and decimal
Fraction
In mathematics, a fraction is represented by a numerical value that identifies a portion of a whole. A fraction is basically a portion or section taken from a whole, which can be anything like a certain amount, or an object. You can determine the equal parts of a whole portion from fraction. The number that appears above the line of a fraction is called numerator and that appears below the line is called denominator.
The number of parts we take when the whole is divided into equal parts is a fraction. If we divide 100 rupees to 5 persons equally, we can say that each person gets 1/5th of the total money. The process to determine that is simple as we have to divide 20 by 100.
Before we dive into writing 0.95 as a fraction, we need to know that depending on how the numerator and denominator are related, a fraction can be either proper or improper.
Decimal
A group of numbers between the integers are generally known as decimals. They can be both positive and negative. They are basically an alternate representation of fractions. Decimals are produced when a whole is divided into smaller parts. A decimal number then has two components: a whole number component and a fractional component.
However, as we proceed to the right following the decimal point, we obtain the fractional portion of the decimal number. The fractional and entire components are separated by the decimal point. That is why we have to look carefully at the placement of decimal point before converting it into a fraction.
Decimals make it possible to accurately represent values that fall between whole numbers. They are frequently utilised in many different industries, including as research, finance, and everyday calculations. Continue reading to find out how to write 0.95 as a fraction.
How to write 0.95 as a fraction
Understanding the Basics
To write 0.95 as a fraction, it’s essential to get the basic idea of fractions and decimal. As we know a fraction has two parts- numerator and denominator. The total number of equally sized components that make up the entire quantity or unit is shown by the denominator. Fractions indicate parts of a whole.
Identifying the decimal
The decimal number in this instance is 0.95, and we are converting it to a fraction. A decimal point isolates a decimal number into an entire number and a partial part. The dab that shows up between the entire number and the parts is the decimal point. Here we have to understand that 0 is the whole number and 95 is the fraction.
Finding the Denominator and write as fraction
Under each of your decimals, put a dash. Under each dash, enter a 1. A simple fraction is thus created for your decimal. In this case, 0.95 would appear as 0.95/1. The numerator is the primary whole number in the fraction, while the denominator is the second.
To acquire your whole fraction, multiply the numerator and denominator by 100. 95/100 would be the result of writing 0.95 as a fraction. Here we can see that 100 is the denominator. In most cases you can also determine this by looking at the numbers after the decimal point. If it’s only one number after a decimal point, you can multiply by 10.
Making the Fraction Simpler
It is possible to further simplify the 95/100 fraction. A fraction can be made simpler by dividing the numerator and denominator by the greatest common divisor (GCD) of the two numbers. The GCD of 95 and 100 in this instance is 5. The result is 19/20 when the denominator and numerator are both divided by 5. So, the fraction 19/20 can be used to write 0.95 as a fraction.
Reverse process- How to convert fraction to decimal?
Now that we know how to convert decimal to fraction, it is better to know the reverse process.
Find the fraction
Start by determining the fraction that you wish to decimalized. The numerator, or the number above the fraction bar, and the denominator, or the number below the fraction bar, make up a fraction. Let’s use the fraction 3/4 as an example.
Divide the numerator by the denominator
In next step, you need to divide the numerator by the denominator. Divide 3 by 4 in our example, which is 3 4. You will receive the fraction’s decimal equivalent as a result of this division.
Complete the Division
Divide the number, then jot down the quotient. 3 divided by 4 in this instance equals 0.75. The decimal representation of the fraction 3/4 is 0.75.
If necessary, simplify
Just like what we did while writing 0.95 as a fraction, we have to simplify here too. A long string of decimals or a decimal with repeating digits can occasionally be produced through division. If this happens, you could want to condense the decimal into a simpler form. For example, if the division result was 0.6666, you may round it to 0.67 for convenience.
Verify and Symbolize
By writing the decimal as a numerator over a power of 10, you may convert it back to a fraction and check the precision of the decimal conversion. As an illustration, 0.50 can be expressed as 50/100. By reducing the numerator and denominator by their largest common factor, you can further reduce this fraction. In this instance, dividing by 50 yields the result 1/2, demonstrating the precision of the decimal conversion.
