Converting 75.832256 to a Fraction
Step-by-step explanation of how to convert 75.832256 to a fraction
Result
75.832256 =
1184879
15625
Mixed number:
75
13004
15625
Step 1: Identify the number of decimal places
The decimal 75.832256 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
75.832256 × 1000000 = 75832256
Step 3: Write as a fraction
75.832256 =
75832256
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 75832256 and 1000000.
GCD(75832256, 1000000) = 64
Divide both the numerator and denominator by the GCD:
75832256
1000000
=
75832256 ÷ 64
1000000 ÷ 64
=
1184879
15625
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