Converting 7.78218 to a Fraction
Step-by-step explanation of how to convert 7.78218 to a fraction
Result
7.78218 =
389109
50000
Mixed number:
7
39109
50000
Step 1: Identify the number of decimal places
The decimal 7.78218 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
7.78218 × 100000 = 778218
Step 3: Write as a fraction
7.78218 =
778218
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 778218 and 100000.
GCD(778218, 100000) = 2
Divide both the numerator and denominator by the GCD:
778218
100000
=
778218 ÷ 2
100000 ÷ 2
=
389109
50000
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