Converting 84.58 to a Fraction
Step-by-step explanation of how to convert 84.58 to a fraction

Result

84.58 =
4229
50
Mixed number:
84
29
50

Step 1: Identify the number of decimal places

The decimal 84.58 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

84.58 × 100 = 8458

Step 3: Write as a fraction

84.58 =

8458
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8458 and 100.

GCD(8458, 100) = 2

Divide both the numerator and denominator by the GCD:

8458
100

=

8458 ÷ 2
100 ÷ 2

=

4229
50
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