Converting 24.4142 to a Fraction
Step-by-step explanation of how to convert 24.4142 to a fraction
Result
24.4142 =
122071
5000
Mixed number:
24
2071
5000
Step 1: Identify the number of decimal places
The decimal 24.4142 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
24.4142 × 10000 = 244142
Step 3: Write as a fraction
24.4142 =
244142
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 244142 and 10000.
GCD(244142, 10000) = 2
Divide both the numerator and denominator by the GCD:
244142
10000
=
244142 ÷ 2
10000 ÷ 2
=
122071
5000
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