Converting 34.89 to a Fraction
Step-by-step explanation of how to convert 34.89 to a fraction

Result

34.89 =
3489
100
Mixed number:
34
89
100

Step 1: Identify the number of decimal places

The decimal 34.89 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

34.89 × 100 = 3489

Step 3: Write as a fraction

34.89 =

3489
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3489 and 100.

GCD(3489, 100) = 1

Divide both the numerator and denominator by the GCD:

3489
100

=

3489 ÷ 1
100 ÷ 1

=

3489
100
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