Converting 28.7575 to a Fraction
Step-by-step explanation of how to convert 28.7575 to a fraction

Result

28.7575 =
11503
400
Mixed number:
28
303
400

Step 1: Identify the number of decimal places

The decimal 28.7575 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

28.7575 × 10000 = 287575

Step 3: Write as a fraction

28.7575 =

287575
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 287575 and 10000.

GCD(287575, 10000) = 25

Divide both the numerator and denominator by the GCD:

287575
10000

=

287575 ÷ 25
10000 ÷ 25

=

11503
400
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