Converting 6.7856 to a Fraction
Step-by-step explanation of how to convert 6.7856 to a fraction
Result
6.7856 =
4241
625
Mixed number:
6
491
625
Step 1: Identify the number of decimal places
The decimal 6.7856 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
6.7856 × 10000 = 67856
Step 3: Write as a fraction
6.7856 =
67856
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 67856 and 10000.
GCD(67856, 10000) = 16
Divide both the numerator and denominator by the GCD:
67856
10000
=
67856 ÷ 16
10000 ÷ 16
=
4241
625
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions