Converting 4.355 to a Fraction
Step-by-step explanation of how to convert 4.355 to a fraction
Result
4.355 =
871
200
Mixed number:
4
71
200
Step 1: Identify the number of decimal places
The decimal 4.355 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
4.355 × 1000 = 4355
Step 3: Write as a fraction
4.355 =
4355
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4355 and 1000.
GCD(4355, 1000) = 5
Divide both the numerator and denominator by the GCD:
4355
1000
=
4355 ÷ 5
1000 ÷ 5
=
871
200
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions