Converting 85.52 to a Fraction
Step-by-step explanation of how to convert 85.52 to a fraction

Result

85.52 =
2138
25
Mixed number:
85
13
25

Step 1: Identify the number of decimal places

The decimal 85.52 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

85.52 × 100 = 8552

Step 3: Write as a fraction

85.52 =

8552
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8552 and 100.

GCD(8552, 100) = 4

Divide both the numerator and denominator by the GCD:

8552
100

=

8552 ÷ 4
100 ÷ 4

=

2138
25
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