Converting 6.126 to a Fraction
Step-by-step explanation of how to convert 6.126 to a fraction

Result

6.126 =
3063
500
Mixed number:
6
63
500

Step 1: Identify the number of decimal places

The decimal 6.126 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

6.126 × 1000 = 6126

Step 3: Write as a fraction

6.126 =

6126
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 6126 and 1000.

GCD(6126, 1000) = 2

Divide both the numerator and denominator by the GCD:

6126
1000

=

6126 ÷ 2
1000 ÷ 2

=

3063
500
Related Conversions
Other decimal to fraction conversions you might find useful