Converting 22.1875 to a Fraction
Step-by-step explanation of how to convert 22.1875 to a fraction
Result
22.1875 =
355
16
Mixed number:
22
3
16
Step 1: Identify the number of decimal places
The decimal 22.1875 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
22.1875 × 10000 = 221875
Step 3: Write as a fraction
22.1875 =
221875
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 221875 and 10000.
GCD(221875, 10000) = 625
Divide both the numerator and denominator by the GCD:
221875
10000
=
221875 ÷ 625
10000 ÷ 625
=
355
16
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