Decimal 5.875 as a fraction

What is 5.875 as a fraction in simplest form?

Answer: Decimal 5.875 as a fraction is 5 7/8 (5⅞)
5.875=
47
/
8
=5
7
/
8

The fractional equivalent of 5.875 is 5 7/8 (5⅞)

Explanation of 5.875 Decimal to Fraction Conversion

In order to find the simplest fraction form of 5.875 first we need to write out decimal number 5.875 as fraction. Any number can be written as a fraction quite simply - just divide it by 1:

5.875 =
5.875
/
1

Next we need to get rid of the decimal part in our numerator so that the numerator in our fraction becomes a whole number. To do so we need to multiply both numerator and denominator by 1000 (because there are 3 digits after the decimal point in the number 5.875):

5.875 × 1000
/
1 × 1000
=
5875
/
1000

Now we need to simplify our fraction to its simplest form. To do so we have to find the Greatest Common Factor (GCF) of 5875 and 1000. To find the GCF of 2 numbers you can use our GCF Calculator . GCF of 1000 and 5875 is 125. So in order to simplify our fraction we need to divide both numerator and denominator by 125:

5875 ÷ 125
/
1000 ÷ 125
=
47
/
8
=5
7
/
8

That's it! 5.875 as a fraction in it's simplest form is equal to 5 7/8 (5⅞).

Decimal to Fraction Conversion Table

DecimalFraction
5.5255 21/40
5 11/20
5.5755 23/40
5 13/20
5.6755 27/40
5.7255 29/40
5.7755 31/40
5.8255 33/40
5 17/20
5.9255 37/40
5 19/20
5.9755 39/40
6/1
6 1/40
6 3/40
6 7/40
6 9/40

About "Decimal to Fraction Converter" Calculator

This online Decimal to Fraction converter is a tool that can help you convert any decimal number into its fractional form quickly and easily. For example, it can help you find out what is 5.875 as a fraction in simplest form? (The answer is: 5 7/8 (5⅞)). It is especially useful for those who need to work with fractions in their daily lives or in academic or professional settings.

To use this converter, all you need to do is enter the decimal number you want to convert into the designated field, for example, '5.875'. Once you have entered the decimal, hit the 'Convert' button to start the conversion process.

The converter will then show you the fractional equivalent of the decimal number you entered, as well as provide a step-by-step explanation of the conversion process. Additionally, the final fraction will be simplified to its simplest form using the greatest common factor (GCF).

For example, if you enter '5.875' into the converter, it will show you that this decimal is equivalent to the fraction '5 7/8 (5⅞)'. It will also explain how it arrived at this answer, showing you the steps involved in the conversion process.

Overall, the online Decimal to Fraction converter is an essential tool for anyone who needs to work with fractions, whether in everyday life or in an academic or professional context. It is fast, easy to use, and provides accurate results, making it a valuable resource for anyone who needs to convert decimals to fractions.

FAQ

What is 5.875 as a fraction in simplest form?

Decimal 5.875 as a fraction is 5 7/8 (5⅞)