Converting 1.1145 to a Fraction
Step-by-step explanation of how to convert 1.1145 to a fraction

Result

1.1145 =
2229
2000
Mixed number:
1
229
2000

Step 1: Identify the number of decimal places

The decimal 1.1145 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

1.1145 × 10000 = 11145

Step 3: Write as a fraction

1.1145 =

11145
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 11145 and 10000.

GCD(11145, 10000) = 5

Divide both the numerator and denominator by the GCD:

11145
10000

=

11145 ÷ 5
10000 ÷ 5

=

2229
2000
Related Conversions
Other decimal to fraction conversions you might find useful