Converting 6.7675 to a Fraction
Step-by-step explanation of how to convert 6.7675 to a fraction

Result

6.7675 =
2707
400
Mixed number:
6
307
400

Step 1: Identify the number of decimal places

The decimal 6.7675 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

6.7675 × 10000 = 67675

Step 3: Write as a fraction

6.7675 =

67675
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 67675 and 10000.

GCD(67675, 10000) = 25

Divide both the numerator and denominator by the GCD:

67675
10000

=

67675 ÷ 25
10000 ÷ 25

=

2707
400
Related Conversions
Other decimal to fraction conversions you might find useful