Converting 85.1384 to a Fraction
Step-by-step explanation of how to convert 85.1384 to a fraction

Result

85.1384 =
106423
1250
Mixed number:
85
173
1250

Step 1: Identify the number of decimal places

The decimal 85.1384 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

85.1384 × 10000 = 851384

Step 3: Write as a fraction

85.1384 =

851384
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 851384 and 10000.

GCD(851384, 10000) = 8

Divide both the numerator and denominator by the GCD:

851384
10000

=

851384 ÷ 8
10000 ÷ 8

=

106423
1250
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