Converting 3.564864 to a Fraction
Step-by-step explanation of how to convert 3.564864 to a fraction

Result

3.564864 =
55701
15625
Mixed number:
3
8826
15625

Step 1: Identify the number of decimal places

The decimal 3.564864 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

3.564864 × 1000000 = 3564864

Step 3: Write as a fraction

3.564864 =

3564864
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3564864 and 1000000.

GCD(3564864, 1000000) = 64

Divide both the numerator and denominator by the GCD:

3564864
1000000

=

3564864 ÷ 64
1000000 ÷ 64

=

55701
15625
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