Converting 0.3701 to a Fraction
Step-by-step explanation of how to convert 0.3701 to a fraction

Result

0.3701 =
3701
10000

Step 1: Identify the number of decimal places

The decimal 0.3701 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.3701 × 10000 = 3701

Step 3: Write as a fraction

0.3701 =

3701
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3701 and 10000.

GCD(3701, 10000) = 1

Divide both the numerator and denominator by the GCD:

3701
10000

=

3701 ÷ 1
10000 ÷ 1

=

3701
10000
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