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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