Converting 28.6724 to a Fraction
Step-by-step explanation of how to convert 28.6724 to a fraction

Result

28.6724 =
71681
2500
Mixed number:
28
1681
2500

Step 1: Identify the number of decimal places

The decimal 28.6724 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

28.6724 × 10000 = 286724

Step 3: Write as a fraction

28.6724 =

286724
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 286724 and 10000.

GCD(286724, 10000) = 4

Divide both the numerator and denominator by the GCD:

286724
10000

=

286724 ÷ 4
10000 ÷ 4

=

71681
2500
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