Converting 3.735872 to a Fraction
Step-by-step explanation of how to convert 3.735872 to a fraction

Result

3.735872 =
58373
15625
Mixed number:
3
11498
15625

Step 1: Identify the number of decimal places

The decimal 3.735872 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

3.735872 × 1000000 = 3735872

Step 3: Write as a fraction

3.735872 =

3735872
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3735872 and 1000000.

GCD(3735872, 1000000) = 64

Divide both the numerator and denominator by the GCD:

3735872
1000000

=

3735872 ÷ 64
1000000 ÷ 64

=

58373
15625
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