Converting 11.87268 to a Fraction
Step-by-step explanation of how to convert 11.87268 to a fraction

Result

11.87268 =
296817
25000
Mixed number:
11
21817
25000

Step 1: Identify the number of decimal places

The decimal 11.87268 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

11.87268 × 100000 = 1187268

Step 3: Write as a fraction

11.87268 =

1187268
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1187268 and 100000.

GCD(1187268, 100000) = 4

Divide both the numerator and denominator by the GCD:

1187268
100000

=

1187268 ÷ 4
100000 ÷ 4

=

296817
25000
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