Converting 29.83 to a Fraction
Step-by-step explanation of how to convert 29.83 to a fraction

Result

29.83 =
2983
100
Mixed number:
29
83
100

Step 1: Identify the number of decimal places

The decimal 29.83 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

29.83 × 100 = 2983

Step 3: Write as a fraction

29.83 =

2983
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2983 and 100.

GCD(2983, 100) = 1

Divide both the numerator and denominator by the GCD:

2983
100

=

2983 ÷ 1
100 ÷ 1

=

2983
100
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