Converting 3.6745 to a Fraction
Step-by-step explanation of how to convert 3.6745 to a fraction
Result
3.6745 =
7349
2000
Mixed number:
3
1349
2000
Step 1: Identify the number of decimal places
The decimal 3.6745 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
3.6745 × 10000 = 36745
Step 3: Write as a fraction
3.6745 =
36745
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 36745 and 10000.
GCD(36745, 10000) = 5
Divide both the numerator and denominator by the GCD:
36745
10000
=
36745 ÷ 5
10000 ÷ 5
=
7349
2000
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