Converting 49.285 to a Fraction
Step-by-step explanation of how to convert 49.285 to a fraction

Result

49.285 =
9857
200
Mixed number:
49
57
200

Step 1: Identify the number of decimal places

The decimal 49.285 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

49.285 × 1000 = 49285

Step 3: Write as a fraction

49.285 =

49285
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 49285 and 1000.

GCD(49285, 1000) = 5

Divide both the numerator and denominator by the GCD:

49285
1000

=

49285 ÷ 5
1000 ÷ 5

=

9857
200
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