Converting 28.75 to a Fraction
Step-by-step explanation of how to convert 28.75 to a fraction

Result

28.75 =
115
4
Mixed number:
28
3
4

Step 1: Identify the number of decimal places

The decimal 28.75 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

28.75 × 100 = 2875

Step 3: Write as a fraction

28.75 =

2875
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2875 and 100.

GCD(2875, 100) = 25

Divide both the numerator and denominator by the GCD:

2875
100

=

2875 ÷ 25
100 ÷ 25

=

115
4
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