Converting 26.4144 to a Fraction
Step-by-step explanation of how to convert 26.4144 to a fraction
Result
26.4144 =
16509
625
Mixed number:
26
259
625
Step 1: Identify the number of decimal places
The decimal 26.4144 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
26.4144 × 10000 = 264144
Step 3: Write as a fraction
26.4144 =
264144
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 264144 and 10000.
GCD(264144, 10000) = 16
Divide both the numerator and denominator by the GCD:
264144
10000
=
264144 ÷ 16
10000 ÷ 16
=
16509
625
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