Converting 28.7238 to a Fraction
Step-by-step explanation of how to convert 28.7238 to a fraction

Result

28.7238 =
143619
5000
Mixed number:
28
3619
5000

Step 1: Identify the number of decimal places

The decimal 28.7238 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

28.7238 × 10000 = 287238

Step 3: Write as a fraction

28.7238 =

287238
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 287238 and 10000.

GCD(287238, 10000) = 2

Divide both the numerator and denominator by the GCD:

287238
10000

=

287238 ÷ 2
10000 ÷ 2

=

143619
5000
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