Converting 28.26 to a Fraction
Step-by-step explanation of how to convert 28.26 to a fraction

Result

28.26 =
1413
50
Mixed number:
28
13
50

Step 1: Identify the number of decimal places

The decimal 28.26 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

28.26 × 100 = 2826

Step 3: Write as a fraction

28.26 =

2826
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2826 and 100.

GCD(2826, 100) = 2

Divide both the numerator and denominator by the GCD:

2826
100

=

2826 ÷ 2
100 ÷ 2

=

1413
50
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