Converting 13.735 to a Fraction
Step-by-step explanation of how to convert 13.735 to a fraction
Result
13.735 =
2747
200
Mixed number:
13
147
200
Step 1: Identify the number of decimal places
The decimal 13.735 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
13.735 × 1000 = 13735
Step 3: Write as a fraction
13.735 =
13735
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 13735 and 1000.
GCD(13735, 1000) = 5
Divide both the numerator and denominator by the GCD:
13735
1000
=
13735 ÷ 5
1000 ÷ 5
=
2747
200
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