Converting 0.36745 to a Fraction
Step-by-step explanation of how to convert 0.36745 to a fraction

Result

0.36745 =
7349
20000

Step 1: Identify the number of decimal places

The decimal 0.36745 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.36745 × 100000 = 36745

Step 3: Write as a fraction

0.36745 =

36745
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 36745 and 100000.

GCD(36745, 100000) = 5

Divide both the numerator and denominator by the GCD:

36745
100000

=

36745 ÷ 5
100000 ÷ 5

=

7349
20000
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