Converting 26.4282 to a Fraction
Step-by-step explanation of how to convert 26.4282 to a fraction

Result

26.4282 =
132141
5000
Mixed number:
26
2141
5000

Step 1: Identify the number of decimal places

The decimal 26.4282 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

26.4282 × 10000 = 264282

Step 3: Write as a fraction

26.4282 =

264282
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 264282 and 10000.

GCD(264282, 10000) = 2

Divide both the numerator and denominator by the GCD:

264282
10000

=

264282 ÷ 2
10000 ÷ 2

=

132141
5000
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