Converting 41.984 to a Fraction
Step-by-step explanation of how to convert 41.984 to a fraction
Result
41.984 =
5248
125
Mixed number:
41
123
125
Step 1: Identify the number of decimal places
The decimal 41.984 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
41.984 × 1000 = 41984
Step 3: Write as a fraction
41.984 =
41984
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 41984 and 1000.
GCD(41984, 1000) = 8
Divide both the numerator and denominator by the GCD:
41984
1000
=
41984 ÷ 8
1000 ÷ 8
=
5248
125
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