Converting 15.4675 to a Fraction
Step-by-step explanation of how to convert 15.4675 to a fraction
Result
15.4675 =
6187
400
Mixed number:
15
187
400
Step 1: Identify the number of decimal places
The decimal 15.4675 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
15.4675 × 10000 = 154675
Step 3: Write as a fraction
15.4675 =
154675
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 154675 and 10000.
GCD(154675, 10000) = 25
Divide both the numerator and denominator by the GCD:
154675
10000
=
154675 ÷ 25
10000 ÷ 25
=
6187
400
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions