Converting 3.735 to a Fraction
Step-by-step explanation of how to convert 3.735 to a fraction
Result
3.735 =
747
200
Mixed number:
3
147
200
Step 1: Identify the number of decimal places
The decimal 3.735 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
3.735 × 1000 = 3735
Step 3: Write as a fraction
3.735 =
3735
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3735 and 1000.
GCD(3735, 1000) = 5
Divide both the numerator and denominator by the GCD:
3735
1000
=
3735 ÷ 5
1000 ÷ 5
=
747
200
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions