Converting 0.585416 to a Fraction
Step-by-step explanation of how to convert 0.585416 to a fraction
Result
0.585416 =
73177
125000
Step 1: Identify the number of decimal places
The decimal 0.585416 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.585416 × 1000000 = 585416
Step 3: Write as a fraction
0.585416 =
585416
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 585416 and 1000000.
GCD(585416, 1000000) = 8
Divide both the numerator and denominator by the GCD:
585416
1000000
=
585416 ÷ 8
1000000 ÷ 8
=
73177
125000
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