Converting 4.128 to a Fraction
Step-by-step explanation of how to convert 4.128 to a fraction
Result
4.128 =
516
125
Mixed number:
4
16
125
Step 1: Identify the number of decimal places
The decimal 4.128 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
4.128 × 1000 = 4128
Step 3: Write as a fraction
4.128 =
4128
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4128 and 1000.
GCD(4128, 1000) = 8
Divide both the numerator and denominator by the GCD:
4128
1000
=
4128 ÷ 8
1000 ÷ 8
=
516
125
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions