Converting 2.78405 to a Fraction
Step-by-step explanation of how to convert 2.78405 to a fraction
Result
2.78405 =
55681
20000
Mixed number:
2
15681
20000
Step 1: Identify the number of decimal places
The decimal 2.78405 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
2.78405 × 100000 = 278405
Step 3: Write as a fraction
2.78405 =
278405
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 278405 and 100000.
GCD(278405, 100000) = 5
Divide both the numerator and denominator by the GCD:
278405
100000
=
278405 ÷ 5
100000 ÷ 5
=
55681
20000
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