Converting 7.6256 to a Fraction
Step-by-step explanation of how to convert 7.6256 to a fraction

Result

7.6256 =
4766
625
Mixed number:
7
391
625

Step 1: Identify the number of decimal places

The decimal 7.6256 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

7.6256 × 10000 = 76256

Step 3: Write as a fraction

7.6256 =

76256
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 76256 and 10000.

GCD(76256, 10000) = 16

Divide both the numerator and denominator by the GCD:

76256
10000

=

76256 ÷ 16
10000 ÷ 16

=

4766
625
Related Conversions
Other decimal to fraction conversions you might find useful