Converting 2.4164 to a Fraction
Step-by-step explanation of how to convert 2.4164 to a fraction
Result
2.4164 =
6041
2500
Mixed number:
2
1041
2500
Step 1: Identify the number of decimal places
The decimal 2.4164 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
2.4164 × 10000 = 24164
Step 3: Write as a fraction
2.4164 =
24164
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 24164 and 10000.
GCD(24164, 10000) = 4
Divide both the numerator and denominator by the GCD:
24164
10000
=
24164 ÷ 4
10000 ÷ 4
=
6041
2500
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