Converting 85.2048 to a Fraction
Step-by-step explanation of how to convert 85.2048 to a fraction

Result

85.2048 =
53253
625
Mixed number:
85
128
625

Step 1: Identify the number of decimal places

The decimal 85.2048 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

85.2048 × 10000 = 852048

Step 3: Write as a fraction

85.2048 =

852048
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 852048 and 10000.

GCD(852048, 10000) = 16

Divide both the numerator and denominator by the GCD:

852048
10000

=

852048 ÷ 16
10000 ÷ 16

=

53253
625
Related Conversions
Other decimal to fraction conversions you might find useful