Converting 4.14282 to a Fraction
Step-by-step explanation of how to convert 4.14282 to a fraction

Result

4.14282 =
207141
50000
Mixed number:
4
7141
50000

Step 1: Identify the number of decimal places

The decimal 4.14282 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

4.14282 × 100000 = 414282

Step 3: Write as a fraction

4.14282 =

414282
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 414282 and 100000.

GCD(414282, 100000) = 2

Divide both the numerator and denominator by the GCD:

414282
100000

=

414282 ÷ 2
100000 ÷ 2

=

207141
50000
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