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Converting 3.83 to a Fraction
Step-by-step explanation of how to convert 3.83 to a fraction

Result

3.83 =
383
100
Mixed number:
3
83
100

Step 1: Identify the number of decimal places

The decimal 3.83 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

3.83 × 100 = 383

Step 3: Write as a fraction

3.83 =

383
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 383 and 100.

GCD(383, 100) = 1

Divide both the numerator and denominator by the GCD:

383
100

=

383 ÷ 1
100 ÷ 1

=

383
100
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