Converting 0.586624 to a Fraction
Step-by-step explanation of how to convert 0.586624 to a fraction
Result
0.586624 =
9166
15625
Step 1: Identify the number of decimal places
The decimal 0.586624 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.586624 × 1000000 = 586624
Step 3: Write as a fraction
0.586624 =
586624
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 586624 and 1000000.
GCD(586624, 1000000) = 64
Divide both the numerator and denominator by the GCD:
586624
1000000
=
586624 ÷ 64
1000000 ÷ 64
=
9166
15625
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