Converting 7.828438 to a Fraction
Step-by-step explanation of how to convert 7.828438 to a fraction

Result

7.828438 =
3914219
500000
Mixed number:
7
414219
500000

Step 1: Identify the number of decimal places

The decimal 7.828438 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

7.828438 × 1000000 = 7828438

Step 3: Write as a fraction

7.828438 =

7828438
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7828438 and 1000000.

GCD(7828438, 1000000) = 2

Divide both the numerator and denominator by the GCD:

7828438
1000000

=

7828438 ÷ 2
1000000 ÷ 2

=

3914219
500000
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