Converting 3.5644 to a Fraction
Step-by-step explanation of how to convert 3.5644 to a fraction

Result

3.5644 =
8911
2500
Mixed number:
3
1411
2500

Step 1: Identify the number of decimal places

The decimal 3.5644 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.5644 × 10000 = 35644

Step 3: Write as a fraction

3.5644 =

35644
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 35644 and 10000.

GCD(35644, 10000) = 4

Divide both the numerator and denominator by the GCD:

35644
10000

=

35644 ÷ 4
10000 ÷ 4

=

8911
2500
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