Converting 85.9224 to a Fraction
Step-by-step explanation of how to convert 85.9224 to a fraction
Result
85.9224 =
107403
1250
Mixed number:
85
1153
1250
Step 1: Identify the number of decimal places
The decimal 85.9224 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
85.9224 × 10000 = 859224
Step 3: Write as a fraction
85.9224 =
859224
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 859224 and 10000.
GCD(859224, 10000) = 8
Divide both the numerator and denominator by the GCD:
859224
10000
=
859224 ÷ 8
10000 ÷ 8
=
107403
1250
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