Converting 2.2352 to a Fraction
Step-by-step explanation of how to convert 2.2352 to a fraction
Result
2.2352 =
1397
625
Mixed number:
2
147
625
Step 1: Identify the number of decimal places
The decimal 2.2352 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
2.2352 × 10000 = 22352
Step 3: Write as a fraction
2.2352 =
22352
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 22352 and 10000.
GCD(22352, 10000) = 16
Divide both the numerator and denominator by the GCD:
22352
10000
=
22352 ÷ 16
10000 ÷ 16
=
1397
625
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