Converting 85.84 to a Fraction
Step-by-step explanation of how to convert 85.84 to a fraction

Result

85.84 =
2146
25
Mixed number:
85
21
25

Step 1: Identify the number of decimal places

The decimal 85.84 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

85.84 × 100 = 8584

Step 3: Write as a fraction

85.84 =

8584
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8584 and 100.

GCD(8584, 100) = 4

Divide both the numerator and denominator by the GCD:

8584
100

=

8584 ÷ 4
100 ÷ 4

=

2146
25
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