Converting 28.9738 to a Fraction
Step-by-step explanation of how to convert 28.9738 to a fraction

Result

28.9738 =
144869
5000
Mixed number:
28
4869
5000

Step 1: Identify the number of decimal places

The decimal 28.9738 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

28.9738 × 10000 = 289738

Step 3: Write as a fraction

28.9738 =

289738
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 289738 and 10000.

GCD(289738, 10000) = 2

Divide both the numerator and denominator by the GCD:

289738
10000

=

289738 ÷ 2
10000 ÷ 2

=

144869
5000
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