Converting 49.185 to a Fraction
Step-by-step explanation of how to convert 49.185 to a fraction

Result

49.185 =
9837
200
Mixed number:
49
37
200

Step 1: Identify the number of decimal places

The decimal 49.185 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

49.185 × 1000 = 49185

Step 3: Write as a fraction

49.185 =

49185
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 49185 and 1000.

GCD(49185, 1000) = 5

Divide both the numerator and denominator by the GCD:

49185
1000

=

49185 ÷ 5
1000 ÷ 5

=

9837
200
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