Converting 7.78242 to a Fraction
Step-by-step explanation of how to convert 7.78242 to a fraction

Result

7.78242 =
389121
50000
Mixed number:
7
39121
50000

Step 1: Identify the number of decimal places

The decimal 7.78242 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

7.78242 × 100000 = 778242

Step 3: Write as a fraction

7.78242 =

778242
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 778242 and 100000.

GCD(778242, 100000) = 2

Divide both the numerator and denominator by the GCD:

778242
100000

=

778242 ÷ 2
100000 ÷ 2

=

389121
50000
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