Converting 0.8365 to a Fraction
Step-by-step explanation of how to convert 0.8365 to a fraction
Result
0.8365 =
1673
2000
Step 1: Identify the number of decimal places
The decimal 0.8365 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
0.8365 × 10000 = 8365
Step 3: Write as a fraction
0.8365 =
8365
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 8365 and 10000.
GCD(8365, 10000) = 5
Divide both the numerator and denominator by the GCD:
8365
10000
=
8365 ÷ 5
10000 ÷ 5
=
1673
2000
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