Converting 85.84768 to a Fraction
Step-by-step explanation of how to convert 85.84768 to a fraction
Result
85.84768 =
268274
3125
Mixed number:
85
2649
3125
Step 1: Identify the number of decimal places
The decimal 85.84768 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
85.84768 × 100000 = 8584768
Step 3: Write as a fraction
85.84768 =
8584768
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 8584768 and 100000.
GCD(8584768, 100000) = 32
Divide both the numerator and denominator by the GCD:
8584768
100000
=
8584768 ÷ 32
100000 ÷ 32
=
268274
3125
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