Converting 2.78205 to a Fraction
Step-by-step explanation of how to convert 2.78205 to a fraction
Result
2.78205 =
55641
20000
Mixed number:
2
15641
20000
Step 1: Identify the number of decimal places
The decimal 2.78205 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
2.78205 × 100000 = 278205
Step 3: Write as a fraction
2.78205 =
278205
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 278205 and 100000.
GCD(278205, 100000) = 5
Divide both the numerator and denominator by the GCD:
278205
100000
=
278205 ÷ 5
100000 ÷ 5
=
55641
20000
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