Converting 9.8384 to a Fraction
Step-by-step explanation of how to convert 9.8384 to a fraction
Result
9.8384 =
6149
625
Mixed number:
9
524
625
Step 1: Identify the number of decimal places
The decimal 9.8384 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
9.8384 × 10000 = 98384
Step 3: Write as a fraction
9.8384 =
98384
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 98384 and 10000.
GCD(98384, 10000) = 16
Divide both the numerator and denominator by the GCD:
98384
10000
=
98384 ÷ 16
10000 ÷ 16
=
6149
625
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