Converting 12.2175 to a Fraction
Step-by-step explanation of how to convert 12.2175 to a fraction

Result

12.2175 =
4887
400
Mixed number:
12
87
400

Step 1: Identify the number of decimal places

The decimal 12.2175 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

12.2175 × 10000 = 122175

Step 3: Write as a fraction

12.2175 =

122175
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 122175 and 10000.

GCD(122175, 10000) = 25

Divide both the numerator and denominator by the GCD:

122175
10000

=

122175 ÷ 25
10000 ÷ 25

=

4887
400
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