Converting 11.4988 to a Fraction
Step-by-step explanation of how to convert 11.4988 to a fraction

Result

11.4988 =
28747
2500
Mixed number:
11
1247
2500

Step 1: Identify the number of decimal places

The decimal 11.4988 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

11.4988 × 10000 = 114988

Step 3: Write as a fraction

11.4988 =

114988
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 114988 and 10000.

GCD(114988, 10000) = 4

Divide both the numerator and denominator by the GCD:

114988
10000

=

114988 ÷ 4
10000 ÷ 4

=

28747
2500
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