Converting 28.2968 to a Fraction
Step-by-step explanation of how to convert 28.2968 to a fraction

Result

28.2968 =
35371
1250
Mixed number:
28
371
1250

Step 1: Identify the number of decimal places

The decimal 28.2968 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

28.2968 × 10000 = 282968

Step 3: Write as a fraction

28.2968 =

282968
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 282968 and 10000.

GCD(282968, 10000) = 8

Divide both the numerator and denominator by the GCD:

282968
10000

=

282968 ÷ 8
10000 ÷ 8

=

35371
1250
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