Converting 2.194 to a Fraction
Step-by-step explanation of how to convert 2.194 to a fraction

Result

2.194 =
1097
500
Mixed number:
2
97
500

Step 1: Identify the number of decimal places

The decimal 2.194 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

2.194 × 1000 = 2194

Step 3: Write as a fraction

2.194 =

2194
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2194 and 1000.

GCD(2194, 1000) = 2

Divide both the numerator and denominator by the GCD:

2194
1000

=

2194 ÷ 2
1000 ÷ 2

=

1097
500
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