Converting 0.578125 to a Fraction
Step-by-step explanation of how to convert 0.578125 to a fraction
Result
0.578125 =
37
64
Step 1: Identify the number of decimal places
The decimal 0.578125 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.578125 × 1000000 = 578125
Step 3: Write as a fraction
0.578125 =
578125
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 578125 and 1000000.
GCD(578125, 1000000) = 15625
Divide both the numerator and denominator by the GCD:
578125
1000000
=
578125 ÷ 15625
1000000 ÷ 15625
=
37
64
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