Converting 7.72982 to a Fraction
Step-by-step explanation of how to convert 7.72982 to a fraction

Result

7.72982 =
386491
50000
Mixed number:
7
36491
50000

Step 1: Identify the number of decimal places

The decimal 7.72982 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

7.72982 × 100000 = 772982

Step 3: Write as a fraction

7.72982 =

772982
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 772982 and 100000.

GCD(772982, 100000) = 2

Divide both the numerator and denominator by the GCD:

772982
100000

=

772982 ÷ 2
100000 ÷ 2

=

386491
50000
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