Converting 1.798 to a Fraction
Step-by-step explanation of how to convert 1.798 to a fraction

Result

1.798 =
899
500
Mixed number:
1
399
500

Step 1: Identify the number of decimal places

The decimal 1.798 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

1.798 × 1000 = 1798

Step 3: Write as a fraction

1.798 =

1798
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1798 and 1000.

GCD(1798, 1000) = 2

Divide both the numerator and denominator by the GCD:

1798
1000

=

1798 ÷ 2
1000 ÷ 2

=

899
500
Related Conversions
Other decimal to fraction conversions you might find useful