Converting 22.3625 to a Fraction
Step-by-step explanation of how to convert 22.3625 to a fraction
Result
22.3625 =
1789
80
Mixed number:
22
29
80
Step 1: Identify the number of decimal places
The decimal 22.3625 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
22.3625 × 10000 = 223625
Step 3: Write as a fraction
22.3625 =
223625
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 223625 and 10000.
GCD(223625, 10000) = 125
Divide both the numerator and denominator by the GCD:
223625
10000
=
223625 ÷ 125
10000 ÷ 125
=
1789
80
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