Converting 7.83536 to a Fraction
Step-by-step explanation of how to convert 7.83536 to a fraction

Result

7.83536 =
48971
6250
Mixed number:
7
5221
6250

Step 1: Identify the number of decimal places

The decimal 7.83536 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

7.83536 × 100000 = 783536

Step 3: Write as a fraction

7.83536 =

783536
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 783536 and 100000.

GCD(783536, 100000) = 16

Divide both the numerator and denominator by the GCD:

783536
100000

=

783536 ÷ 16
100000 ÷ 16

=

48971
6250
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