Converting 7.82908 to a Fraction
Step-by-step explanation of how to convert 7.82908 to a fraction

Result

7.82908 =
195727
25000
Mixed number:
7
20727
25000

Step 1: Identify the number of decimal places

The decimal 7.82908 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

7.82908 × 100000 = 782908

Step 3: Write as a fraction

7.82908 =

782908
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 782908 and 100000.

GCD(782908, 100000) = 4

Divide both the numerator and denominator by the GCD:

782908
100000

=

782908 ÷ 4
100000 ÷ 4

=

195727
25000
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