Converting 1.1144 to a Fraction
Step-by-step explanation of how to convert 1.1144 to a fraction

Result

1.1144 =
1393
1250
Mixed number:
1
143
1250

Step 1: Identify the number of decimal places

The decimal 1.1144 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

1.1144 × 10000 = 11144

Step 3: Write as a fraction

1.1144 =

11144
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 11144 and 10000.

GCD(11144, 10000) = 8

Divide both the numerator and denominator by the GCD:

11144
10000

=

11144 ÷ 8
10000 ÷ 8

=

1393
1250
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