Converting 0.865625 to a Fraction
Step-by-step explanation of how to convert 0.865625 to a fraction
Result
0.865625 =
277
320
Step 1: Identify the number of decimal places
The decimal 0.865625 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.865625 × 1000000 = 865625
Step 3: Write as a fraction
0.865625 =
865625
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 865625 and 1000000.
GCD(865625, 1000000) = 3125
Divide both the numerator and denominator by the GCD:
865625
1000000
=
865625 ÷ 3125
1000000 ÷ 3125
=
277
320
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