Converting 18.735 to a Fraction
Step-by-step explanation of how to convert 18.735 to a fraction
Result
18.735 =
3747
200
Mixed number:
18
147
200
Step 1: Identify the number of decimal places
The decimal 18.735 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
18.735 × 1000 = 18735
Step 3: Write as a fraction
18.735 =
18735
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 18735 and 1000.
GCD(18735, 1000) = 5
Divide both the numerator and denominator by the GCD:
18735
1000
=
18735 ÷ 5
1000 ÷ 5
=
3747
200
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