Converting 85.12 to a Fraction
Step-by-step explanation of how to convert 85.12 to a fraction

Result

85.12 =
2128
25
Mixed number:
85
3
25

Step 1: Identify the number of decimal places

The decimal 85.12 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

85.12 × 100 = 8512

Step 3: Write as a fraction

85.12 =

8512
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8512 and 100.

GCD(8512, 100) = 4

Divide both the numerator and denominator by the GCD:

8512
100

=

8512 ÷ 4
100 ÷ 4

=

2128
25
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