Converting 11.498 to a Fraction
Step-by-step explanation of how to convert 11.498 to a fraction

Result

11.498 =
5749
500
Mixed number:
11
249
500

Step 1: Identify the number of decimal places

The decimal 11.498 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

11.498 × 1000 = 11498

Step 3: Write as a fraction

11.498 =

11498
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 11498 and 1000.

GCD(11498, 1000) = 2

Divide both the numerator and denominator by the GCD:

11498
1000

=

11498 ÷ 2
1000 ÷ 2

=

5749
500
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