Converting 2.264 to a Fraction
Step-by-step explanation of how to convert 2.264 to a fraction

Result

2.264 =
283
125
Mixed number:
2
33
125

Step 1: Identify the number of decimal places

The decimal 2.264 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

2.264 × 1000 = 2264

Step 3: Write as a fraction

2.264 =

2264
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2264 and 1000.

GCD(2264, 1000) = 8

Divide both the numerator and denominator by the GCD:

2264
1000

=

2264 ÷ 8
1000 ÷ 8

=

283
125
Related Conversions
Other decimal to fraction conversions you might find useful