Converting 6.5645 to a Fraction
Step-by-step explanation of how to convert 6.5645 to a fraction

Result

6.5645 =
13129
2000
Mixed number:
6
1129
2000

Step 1: Identify the number of decimal places

The decimal 6.5645 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

6.5645 × 10000 = 65645

Step 3: Write as a fraction

6.5645 =

65645
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 65645 and 10000.

GCD(65645, 10000) = 5

Divide both the numerator and denominator by the GCD:

65645
10000

=

65645 ÷ 5
10000 ÷ 5

=

13129
2000
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