Converting 7.82682 to a Fraction
Step-by-step explanation of how to convert 7.82682 to a fraction

Result

7.82682 =
391341
50000
Mixed number:
7
41341
50000

Step 1: Identify the number of decimal places

The decimal 7.82682 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

7.82682 × 100000 = 782682

Step 3: Write as a fraction

7.82682 =

782682
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 782682 and 100000.

GCD(782682, 100000) = 2

Divide both the numerator and denominator by the GCD:

782682
100000

=

782682 ÷ 2
100000 ÷ 2

=

391341
50000
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