Converting 1.2275 to a Fraction
Step-by-step explanation of how to convert 1.2275 to a fraction

Result

1.2275 =
491
400
Mixed number:
1
91
400

Step 1: Identify the number of decimal places

The decimal 1.2275 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

1.2275 × 10000 = 12275

Step 3: Write as a fraction

1.2275 =

12275
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 12275 and 10000.

GCD(12275, 10000) = 25

Divide both the numerator and denominator by the GCD:

12275
10000

=

12275 ÷ 25
10000 ÷ 25

=

491
400
Related Conversions
Other decimal to fraction conversions you might find useful