Converting 4.2145 to a Fraction
Step-by-step explanation of how to convert 4.2145 to a fraction
Result
4.2145 =
8429
2000
Mixed number:
4
429
2000
Step 1: Identify the number of decimal places
The decimal 4.2145 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
4.2145 × 10000 = 42145
Step 3: Write as a fraction
4.2145 =
42145
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 42145 and 10000.
GCD(42145, 10000) = 5
Divide both the numerator and denominator by the GCD:
42145
10000
=
42145 ÷ 5
10000 ÷ 5
=
8429
2000
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions