Converting 4.6256 to a Fraction
Step-by-step explanation of how to convert 4.6256 to a fraction

Result

4.6256 =
2891
625
Mixed number:
4
391
625

Step 1: Identify the number of decimal places

The decimal 4.6256 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.6256 × 10000 = 46256

Step 3: Write as a fraction

4.6256 =

46256
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 46256 and 10000.

GCD(46256, 10000) = 16

Divide both the numerator and denominator by the GCD:

46256
10000

=

46256 ÷ 16
10000 ÷ 16

=

2891
625
Related Conversions
Other decimal to fraction conversions you might find useful