Introduction –
A fraction is a share or section of any quantity out of a total, where, the total can be any number, a specific value, or a thing. Today in this guide we will be looking at .875 as a fraction. Let’s look at the ways as to how to calculate it and how to work out on it. There are several methods which are given below. They are as follows –
0.875 as a fraction is expressed as 7/8, 0.875-as-a-fraction. Here, we will express 0.875 as a fraction.
Justification –
To convert or change a decimal number into a fraction, you should write 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. Then, this fraction can be shortened.
In this case, 0.875 has three numbers after the decimal, so, we place 1000 in the denominator and remove the decimal point, > 875/1000
After reducing this fraction, we get,
> (875 ÷ 125) / (1000 ÷ 125) = 7/8
the 8 in 0.875 represents 8/10, the 7 represents 7/100, and the 5 represents 5/1000. So, the decimal number 0.875 is equal to 8/10 + 7/100 + 5/1000. But rather than thinking about how to actually add up all of these fractions, you can simplify things by first writing 0.875 as
0.875 = 0.800 + 0.070 + 0.005
When you do this, you can see that 0.875 is equal to the sum of 800/1000 + 70/1000 + 5/1000 for a grand total of (800 + 70 + 5)/1000 = 875/1000. And that’s the answer!
Reducing the Fraction –
As with our previous problem, it turns out that we can lessen this fraction to the lowest terms by dividing its opens in a new window numerator and denominator by 125. Doing so, we find that 0.875 = 875/1000 is equivalent to 7/8. But, again, don’t worry if you don’t understand how reducing to lowest terms works for now.
What is 0.875 as a Fraction –
Some of the questions pondering in the mind of people are –
- What is 0.875 as a fraction?
- What is 0.875 as a fraction in lowest term?
- What does it mean to convert 0.875 to a fraction?
It means that you want to convert the decimal number .875 to a fraction with a numerator (N) and denominator (D). In other words, you want to solve this equation: .875 = N & D, here we will not only clearly explain how to get the answer to 0.875 as a fraction, but also prove to you that our answer is correct.
First, consider that 1000 multiplied by .875 will get rid of the decimal point. Therefore, make a fraction where the numerator is .875 times 1000 and denominator is 1000 like this:
.875 x 1000=1000
Next, multiply the numbers in the numerator together and keep the denominator as is. Now our fraction looks like this:
875/1000
The greatest common factor of 875 and 1000 is 125, which means you can divide the numerator and denominator by 125 and keep the same value:
875 ÷ 125
1000 ÷ 125
And when calculating the numerator and denominator in our fraction above, we get .875 as a fraction in the simplest form possible:
.875 = 7/8
A numerator over a denominator in a fraction is the same as numerator divided by denominator. If you enter 7 divided by 8 on your calculator, you will see that the answer is 0.875. Therefore, we know that the answer above is correct.
Fraction Calculator – The Decimal –
Now you know that .875 as a fraction is 7/8. Here you can submit another decimal number for us to convert to a fraction. The beginning step of changing a decimal into the modest form of a fraction is to change the decimal into a fraction, any fraction. Knowing some things about the properties of fractions and decimals and the link between them will help you get this.
Recollect that decimals are used to represent a part of a whole number. The numbers that come after the decimal point have columns and number places much as whole numbers do. The tenths place is the first column after the decimal point, while the hundredths place is the second column after the decimal point, and the thousandths place the third column.
So, the number 0.73 is not a complete or whole number, and it reflects the fact that you have only 73% of a whole number. You can know this because the decimals have an easy to remember the relationship with percentages. The number one is always equivalent to 100%, so in order to take a decimal and converted into a percentage, you merely have to put the decimal in the hundredths place or move it over to spaces to the right. Therefore, the numbers 0.28 easily interpret into 28%. The two is in the tenth’s column and the eight in the hundredth’s column.
Write .875 as .875
Multiply both the numerator and denominator by 10 for each digit after the decimal point.
.875
1 = .875 x 1000
1 x 1000 = 875/1000
In order to reduce the fraction, find the Greatest Common Factor (GCF) for 875 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 875 are: 1 5 7 25 35 125 175 875
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The Greatest Common Factor (GCF) for both 875 and 1000 is: 125
Now to reduce the fraction we divide both the numerator and denominator by the GCF value.
875/1000 =
875 ÷ 125
1000 ÷ 125 = 7/8
Integral Part is Empty –
Apart from that, the whole number-integral part is: empty
The decimal part is: .875 = 875/1000
Full simple fraction breakdown: 875/1000
= 175/200
= 35/40
= 7/8
87500/100000
= 8750/10000
= 875/1000
= 175/200
= 35/40
= 7/8
Enter a percent value:
875
% Ex.: 5, 6.25, 75, etc.
Answer (Equivalent fraction Explained)
875% = 35/4 = 83/4 as a fraction
For more blogs: SImpledos
Step-by-Step Process of the .875 as Fraction –
To convert 875 percent to a fraction, follow these steps:
Step 1: Write down the percent divided by 100 –
875% = 875/100
Step 2: Multiply both top and bottom by 10 for every number after the decimal point: As 875 is an integer, we don’t have numbers after the decimal point. So, we just go to step 3.
Step 3: Shorten (or lessen) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD (875,100) = 25. So, (875÷25)/ (100÷25) = 35/4 when reduced to the simplest form. As the numerator is greater than the denominator, we have a not proper fraction, so we can also express it as an amalgamated number, thus 875/100 is also equal to 8 3/4 when expressed as a mixed number.