Converting 83.64 to a Fraction
Step-by-step explanation of how to convert 83.64 to a fraction

Result

83.64 =
2091
25
Mixed number:
83
16
25

Step 1: Identify the number of decimal places

The decimal 83.64 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

83.64 × 100 = 8364

Step 3: Write as a fraction

83.64 =

8364
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8364 and 100.

GCD(8364, 100) = 4

Divide both the numerator and denominator by the GCD:

8364
100

=

8364 ÷ 4
100 ÷ 4

=

2091
25
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