Converting 7.828408 to a Fraction
Step-by-step explanation of how to convert 7.828408 to a fraction

Result

7.828408 =
978551
125000
Mixed number:
7
103551
125000

Step 1: Identify the number of decimal places

The decimal 7.828408 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

7.828408 × 1000000 = 7828408

Step 3: Write as a fraction

7.828408 =

7828408
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7828408 and 1000000.

GCD(7828408, 1000000) = 8

Divide both the numerator and denominator by the GCD:

7828408
1000000

=

7828408 ÷ 8
1000000 ÷ 8

=

978551
125000
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