Converting 9.842 to a Fraction
Step-by-step explanation of how to convert 9.842 to a fraction
Result
9.842 =
4921
500
Mixed number:
9
421
500
Step 1: Identify the number of decimal places
The decimal 9.842 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
9.842 × 1000 = 9842
Step 3: Write as a fraction
9.842 =
9842
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 9842 and 1000.
GCD(9842, 1000) = 2
Divide both the numerator and denominator by the GCD:
9842
1000
=
9842 ÷ 2
1000 ÷ 2
=
4921
500
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