Converting 49.945 to a Fraction
Step-by-step explanation of how to convert 49.945 to a fraction

Result

49.945 =
9989
200
Mixed number:
49
189
200

Step 1: Identify the number of decimal places

The decimal 49.945 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

49.945 × 1000 = 49945

Step 3: Write as a fraction

49.945 =

49945
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 49945 and 1000.

GCD(49945, 1000) = 5

Divide both the numerator and denominator by the GCD:

49945
1000

=

49945 ÷ 5
1000 ÷ 5

=

9989
200
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