Converting 28.745 to a Fraction
Step-by-step explanation of how to convert 28.745 to a fraction

Result

28.745 =
5749
200
Mixed number:
28
149
200

Step 1: Identify the number of decimal places

The decimal 28.745 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

28.745 × 1000 = 28745

Step 3: Write as a fraction

28.745 =

28745
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 28745 and 1000.

GCD(28745, 1000) = 5

Divide both the numerator and denominator by the GCD:

28745
1000

=

28745 ÷ 5
1000 ÷ 5

=

5749
200
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