Converting 6.8752 to a Fraction
Step-by-step explanation of how to convert 6.8752 to a fraction

Result

6.8752 =
4297
625
Mixed number:
6
547
625

Step 1: Identify the number of decimal places

The decimal 6.8752 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

6.8752 × 10000 = 68752

Step 3: Write as a fraction

6.8752 =

68752
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 68752 and 10000.

GCD(68752, 10000) = 16

Divide both the numerator and denominator by the GCD:

68752
10000

=

68752 ÷ 16
10000 ÷ 16

=

4297
625
Related Conversions
Other decimal to fraction conversions you might find useful