Converting 13.705 to a Fraction
Step-by-step explanation of how to convert 13.705 to a fraction
Result
13.705 =
2741
200
Mixed number:
13
141
200
Step 1: Identify the number of decimal places
The decimal 13.705 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
13.705 × 1000 = 13705
Step 3: Write as a fraction
13.705 =
13705
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 13705 and 1000.
GCD(13705, 1000) = 5
Divide both the numerator and denominator by the GCD:
13705
1000
=
13705 ÷ 5
1000 ÷ 5
=
2741
200
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