Converting 17.8444 to a Fraction
Step-by-step explanation of how to convert 17.8444 to a fraction

Result

17.8444 =
44611
2500
Mixed number:
17
2111
2500

Step 1: Identify the number of decimal places

The decimal 17.8444 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

17.8444 × 10000 = 178444

Step 3: Write as a fraction

17.8444 =

178444
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 178444 and 10000.

GCD(178444, 10000) = 4

Divide both the numerator and denominator by the GCD:

178444
10000

=

178444 ÷ 4
10000 ÷ 4

=

44611
2500
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