Converting 49.845 to a Fraction
Step-by-step explanation of how to convert 49.845 to a fraction

Result

49.845 =
9969
200
Mixed number:
49
169
200

Step 1: Identify the number of decimal places

The decimal 49.845 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

49.845 × 1000 = 49845

Step 3: Write as a fraction

49.845 =

49845
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 49845 and 1000.

GCD(49845, 1000) = 5

Divide both the numerator and denominator by the GCD:

49845
1000

=

49845 ÷ 5
1000 ÷ 5

=

9969
200
Related Conversions
Other decimal to fraction conversions you might find useful