4.6875 is 75/16 as a fraction
How to convert decimals as fractions
What are fraction ?
Word “fraction” is derived from the Latin word fractus. It simply means how many parts of a whole we have. A fraction consists of a numerator, a slash and denominator. For example in the fraction 3/4, 3 is the numerator and 4 is the denominator.
Steps to convert 4.6875 to fraction ?
Steps:
Step 1:
Write down the decimal divided by 1, like this:
decimal
1
Step 2:
Multiply both top and bottom by 10 for every number after the decimal point. (For
example,
if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
Step 3:
Simplify (or reduce) the fraction
Example: Convert 4.6875 to a fraction
Step 1:
Write down 4.6875 divided by 1:
4.6875 1
Step 2:
Multiply both top and bottom by 10000 (because there are 4 digits after the decimal
point so that is
10000:
| × 10000 | ||
 |
||
| 4.6875 1 | = | 46875 10000 |
 |
||
| × 10000 | ||
(Do you see how it turns the top number into a whole number?)
Step 3:
Simplify the Fraction:
| × 10000 | ||
|
||
| 46875 10000 | = | 75 16 |
|
||
Answer = 75 16
Note: 46875/10000 is called a decimal fraction and 75/16 is called a common fraction !
How to read a fraction?
The simplest way to read fractions is to simply read them as numerator over denominator. Example, fraction 5/8 can be read as five over eight.
