Converting 7.77125 to a Fraction
Step-by-step explanation of how to convert 7.77125 to a fraction

Result

7.77125 =
6217
800
Mixed number:
7
617
800

Step 1: Identify the number of decimal places

The decimal 7.77125 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

7.77125 × 100000 = 777125

Step 3: Write as a fraction

7.77125 =

777125
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 777125 and 100000.

GCD(777125, 100000) = 125

Divide both the numerator and denominator by the GCD:

777125
100000

=

777125 ÷ 125
100000 ÷ 125

=

6217
800
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