Converting 8.02312 to a Fraction
Step-by-step explanation of how to convert 8.02312 to a fraction
Result
8.02312 =
100289
12500
Mixed number:
8
289
12500
Step 1: Identify the number of decimal places
The decimal 8.02312 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
8.02312 × 100000 = 802312
Step 3: Write as a fraction
8.02312 =
802312
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 802312 and 100000.
GCD(802312, 100000) = 8
Divide both the numerator and denominator by the GCD:
802312
100000
=
802312 ÷ 8
100000 ÷ 8
=
100289
12500
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