Converting 28.075 to a Fraction
Step-by-step explanation of how to convert 28.075 to a fraction

Result

28.075 =
1123
40
Mixed number:
28
3
40

Step 1: Identify the number of decimal places

The decimal 28.075 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

28.075 × 1000 = 28075

Step 3: Write as a fraction

28.075 =

28075
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 28075 and 1000.

GCD(28075, 1000) = 25

Divide both the numerator and denominator by the GCD:

28075
1000

=

28075 ÷ 25
1000 ÷ 25

=

1123
40
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