Converting 83.1384 to a Fraction
Step-by-step explanation of how to convert 83.1384 to a fraction

Result

83.1384 =
103923
1250
Mixed number:
83
173
1250

Step 1: Identify the number of decimal places

The decimal 83.1384 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

83.1384 × 10000 = 831384

Step 3: Write as a fraction

83.1384 =

831384
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 831384 and 10000.

GCD(831384, 10000) = 8

Divide both the numerator and denominator by the GCD:

831384
10000

=

831384 ÷ 8
10000 ÷ 8

=

103923
1250
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