Converting 7.8398 to a Fraction
Step-by-step explanation of how to convert 7.8398 to a fraction

Result

7.8398 =
39199
5000
Mixed number:
7
4199
5000

Step 1: Identify the number of decimal places

The decimal 7.8398 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

7.8398 × 10000 = 78398

Step 3: Write as a fraction

7.8398 =

78398
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 78398 and 10000.

GCD(78398, 10000) = 2

Divide both the numerator and denominator by the GCD:

78398
10000

=

78398 ÷ 2
10000 ÷ 2

=

39199
5000
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