Converting 3.6705 to a Fraction
Step-by-step explanation of how to convert 3.6705 to a fraction
Result
3.6705 =
7341
2000
Mixed number:
3
1341
2000
Step 1: Identify the number of decimal places
The decimal 3.6705 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
3.6705 × 10000 = 36705
Step 3: Write as a fraction
3.6705 =
36705
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 36705 and 10000.
GCD(36705, 10000) = 5
Divide both the numerator and denominator by the GCD:
36705
10000
=
36705 ÷ 5
10000 ÷ 5
=
7341
2000
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