Converting 2.28416 to a Fraction
Step-by-step explanation of how to convert 2.28416 to a fraction
Result
2.28416 =
7138
3125
Mixed number:
2
888
3125
Step 1: Identify the number of decimal places
The decimal 2.28416 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
2.28416 × 100000 = 228416
Step 3: Write as a fraction
2.28416 =
228416
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 228416 and 100000.
GCD(228416, 100000) = 32
Divide both the numerator and denominator by the GCD:
228416
100000
=
228416 ÷ 32
100000 ÷ 32
=
7138
3125
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