Converting 5.64772 to a Fraction
Step-by-step explanation of how to convert 5.64772 to a fraction

Result

5.64772 =
141193
25000
Mixed number:
5
16193
25000

Step 1: Identify the number of decimal places

The decimal 5.64772 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

5.64772 × 100000 = 564772

Step 3: Write as a fraction

5.64772 =

564772
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 564772 and 100000.

GCD(564772, 100000) = 4

Divide both the numerator and denominator by the GCD:

564772
100000

=

564772 ÷ 4
100000 ÷ 4

=

141193
25000
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