Converting 56.589824 to a Fraction
Step-by-step explanation of how to convert 56.589824 to a fraction
Result
56.589824 =
884216
15625
Mixed number:
56
9216
15625
Step 1: Identify the number of decimal places
The decimal 56.589824 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
56.589824 × 1000000 = 56589824
Step 3: Write as a fraction
56.589824 =
56589824
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 56589824 and 1000000.
GCD(56589824, 1000000) = 64
Divide both the numerator and denominator by the GCD:
56589824
1000000
=
56589824 ÷ 64
1000000 ÷ 64
=
884216
15625
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