Converting 49.335 to a Fraction
Step-by-step explanation of how to convert 49.335 to a fraction

Result

49.335 =
9867
200
Mixed number:
49
67
200

Step 1: Identify the number of decimal places

The decimal 49.335 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

49.335 × 1000 = 49335

Step 3: Write as a fraction

49.335 =

49335
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 49335 and 1000.

GCD(49335, 1000) = 5

Divide both the numerator and denominator by the GCD:

49335
1000

=

49335 ÷ 5
1000 ÷ 5

=

9867
200
Related Conversions
Other decimal to fraction conversions you might find useful