Converting 7.73875 to a Fraction
Step-by-step explanation of how to convert 7.73875 to a fraction

Result

7.73875 =
6191
800
Mixed number:
7
591
800

Step 1: Identify the number of decimal places

The decimal 7.73875 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

7.73875 × 100000 = 773875

Step 3: Write as a fraction

7.73875 =

773875
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 773875 and 100000.

GCD(773875, 100000) = 125

Divide both the numerator and denominator by the GCD:

773875
100000

=

773875 ÷ 125
100000 ÷ 125

=

6191
800
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