Converting 48.828 to a Fraction
Step-by-step explanation of how to convert 48.828 to a fraction

Result

48.828 =
12207
250
Mixed number:
48
207
250

Step 1: Identify the number of decimal places

The decimal 48.828 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

48.828 × 1000 = 48828

Step 3: Write as a fraction

48.828 =

48828
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 48828 and 1000.

GCD(48828, 1000) = 4

Divide both the numerator and denominator by the GCD:

48828
1000

=

48828 ÷ 4
1000 ÷ 4

=

12207
250
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