0.565 is 113/200 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 0.565 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 0.565 to a fraction
Step 1:
Write down 0.565 divided by 1:
0.565 1
Step 2:
Multiply both top and bottom by 1000 (because there are 3 digits after the decimal
point so that is
1000:
| × 1000 | ||
 |
||
| 0.565 1 | = | 565 1000 |
 |
||
| × 1000 | ||
(Do you see how it turns the top number into a whole number?)
Step 3:
Simplify the Fraction:
| ÷5 | ||
|
||
| 565 1000 | = | 113 200 |
|
||
| ÷5 | ||
Answer = 113 200
Note: 565/1000 is called a decimal fraction and 113/200 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.
Example of fractions in real life - 1
Lets say in a school of 200 students, there are 113 boys and remaining are girls. We can then simply say the the fraction of boys in this school are 113/200 and ratio of boys to total students is 0.565
