Converting 7.78255 to a Fraction
Step-by-step explanation of how to convert 7.78255 to a fraction
Result
7.78255 =
155651
20000
Mixed number:
7
15651
20000
Step 1: Identify the number of decimal places
The decimal 7.78255 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
7.78255 × 100000 = 778255
Step 3: Write as a fraction
7.78255 =
778255
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 778255 and 100000.
GCD(778255, 100000) = 5
Divide both the numerator and denominator by the GCD:
778255
100000
=
778255 ÷ 5
100000 ÷ 5
=
155651
20000
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