Converting 1.949 to a Fraction
Step-by-step explanation of how to convert 1.949 to a fraction

Result

1.949 =
1949
1000
Mixed number:
1
949
1000

Step 1: Identify the number of decimal places

The decimal 1.949 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

1.949 × 1000 = 1949

Step 3: Write as a fraction

1.949 =

1949
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1949 and 1000.

GCD(1949, 1000) = 1

Divide both the numerator and denominator by the GCD:

1949
1000

=

1949 ÷ 1
1000 ÷ 1

=

1949
1000
Related Conversions
Other decimal to fraction conversions you might find useful