Converting 11.84625 to a Fraction
Step-by-step explanation of how to convert 11.84625 to a fraction

Result

11.84625 =
9477
800
Mixed number:
11
677
800

Step 1: Identify the number of decimal places

The decimal 11.84625 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

11.84625 × 100000 = 1184625

Step 3: Write as a fraction

11.84625 =

1184625
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1184625 and 100000.

GCD(1184625, 100000) = 125

Divide both the numerator and denominator by the GCD:

1184625
100000

=

1184625 ÷ 125
100000 ÷ 125

=

9477
800
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