Converting 84.52256 to a Fraction
Step-by-step explanation of how to convert 84.52256 to a fraction

Result

84.52256 =
264133
3125
Mixed number:
84
1633
3125

Step 1: Identify the number of decimal places

The decimal 84.52256 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

84.52256 × 100000 = 8452256

Step 3: Write as a fraction

84.52256 =

8452256
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8452256 and 100000.

GCD(8452256, 100000) = 32

Divide both the numerator and denominator by the GCD:

8452256
100000

=

8452256 ÷ 32
100000 ÷ 32

=

264133
3125
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