Converting 85.9744 to a Fraction
Step-by-step explanation of how to convert 85.9744 to a fraction
Result
85.9744 =
53734
625
Mixed number:
85
609
625
Step 1: Identify the number of decimal places
The decimal 85.9744 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
85.9744 × 10000 = 859744
Step 3: Write as a fraction
85.9744 =
859744
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 859744 and 10000.
GCD(859744, 10000) = 16
Divide both the numerator and denominator by the GCD:
859744
10000
=
859744 ÷ 16
10000 ÷ 16
=
53734
625
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