Converting 7.78854 to a Fraction
Step-by-step explanation of how to convert 7.78854 to a fraction

Result

7.78854 =
389427
50000
Mixed number:
7
39427
50000

Step 1: Identify the number of decimal places

The decimal 7.78854 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

7.78854 × 100000 = 778854

Step 3: Write as a fraction

7.78854 =

778854
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 778854 and 100000.

GCD(778854, 100000) = 2

Divide both the numerator and denominator by the GCD:

778854
100000

=

778854 ÷ 2
100000 ÷ 2

=

389427
50000
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