Converting 1.1225 to a Fraction
Step-by-step explanation of how to convert 1.1225 to a fraction

Result

1.1225 =
449
400
Mixed number:
1
49
400

Step 1: Identify the number of decimal places

The decimal 1.1225 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

1.1225 × 10000 = 11225

Step 3: Write as a fraction

1.1225 =

11225
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 11225 and 10000.

GCD(11225, 10000) = 25

Divide both the numerator and denominator by the GCD:

11225
10000

=

11225 ÷ 25
10000 ÷ 25

=

449
400
Related Conversions
Other decimal to fraction conversions you might find useful