Converting 35.2208 to a Fraction
Step-by-step explanation of how to convert 35.2208 to a fraction

Result

35.2208 =
22013
625
Mixed number:
35
138
625

Step 1: Identify the number of decimal places

The decimal 35.2208 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

35.2208 × 10000 = 352208

Step 3: Write as a fraction

35.2208 =

352208
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 352208 and 10000.

GCD(352208, 10000) = 16

Divide both the numerator and denominator by the GCD:

352208
10000

=

352208 ÷ 16
10000 ÷ 16

=

22013
625
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