Converting 4.6725 to a Fraction
Step-by-step explanation of how to convert 4.6725 to a fraction
Result
4.6725 =
1869
400
Mixed number:
4
269
400
Step 1: Identify the number of decimal places
The decimal 4.6725 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
4.6725 × 10000 = 46725
Step 3: Write as a fraction
4.6725 =
46725
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 46725 and 10000.
GCD(46725, 10000) = 25
Divide both the numerator and denominator by the GCD:
46725
10000
=
46725 ÷ 25
10000 ÷ 25
=
1869
400
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions