Converting 49.116 to a Fraction
Step-by-step explanation of how to convert 49.116 to a fraction

Result

49.116 =
12279
250
Mixed number:
49
29
250

Step 1: Identify the number of decimal places

The decimal 49.116 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

49.116 × 1000 = 49116

Step 3: Write as a fraction

49.116 =

49116
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 49116 and 1000.

GCD(49116, 1000) = 4

Divide both the numerator and denominator by the GCD:

49116
1000

=

49116 ÷ 4
1000 ÷ 4

=

12279
250
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