Converting 6.7625 to a Fraction
Step-by-step explanation of how to convert 6.7625 to a fraction

Result

6.7625 =
541
80
Mixed number:
6
61
80

Step 1: Identify the number of decimal places

The decimal 6.7625 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

6.7625 × 10000 = 67625

Step 3: Write as a fraction

6.7625 =

67625
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 67625 and 10000.

GCD(67625, 10000) = 125

Divide both the numerator and denominator by the GCD:

67625
10000

=

67625 ÷ 125
10000 ÷ 125

=

541
80
Related Conversions
Other decimal to fraction conversions you might find useful