To calculate it as a REPEATING or recurring decimal click here!
Step-by-Step Solution
0.396 = 99
250
as a fraction
To convert the decimal 0.396 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
0.396 = 0.396
1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 3 numbers after the decimal point, we multiply both numerator and denominator by 1000. So,
0.396
1
= (0.396 × 1000)
(1 × 1000)
= 396
1000
.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(396,1000) = 4. So,
Answers & Comments
Step-by-step explanation:
ecimal to Fration Calculator / Converter
Repeating Terminating Simplifier
Enter a decimal or interger value:
0.396
Ex.: 0.5, 0.625, 1.75, etc.
To calculate it as a REPEATING or recurring decimal click here!
Step-by-Step Solution
0.396 = 99
250
as a fraction
To convert the decimal 0.396 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
0.396 = 0.396
1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 3 numbers after the decimal point, we multiply both numerator and denominator by 1000. So,
0.396
1
= (0.396 × 1000)
(1 × 1000)
= 396
1000
.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(396,1000) = 4. So,
(396÷4)
(1000÷4)
= 99
250
when reduced to the simplest form.
You can also see 0.396 as a fraction (396/1000) and should therefore be said and written as follows:
three hundred ninety-six thousandths