Converting 11.7444 to a Fraction
Step-by-step explanation of how to convert 11.7444 to a fraction

Result

11.7444 =
29361
2500
Mixed number:
11
1861
2500

Step 1: Identify the number of decimal places

The decimal 11.7444 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

11.7444 × 10000 = 117444

Step 3: Write as a fraction

11.7444 =

117444
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 117444 and 10000.

GCD(117444, 10000) = 4

Divide both the numerator and denominator by the GCD:

117444
10000

=

117444 ÷ 4
10000 ÷ 4

=

29361
2500
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