Converting 7.72864 to a Fraction
Step-by-step explanation of how to convert 7.72864 to a fraction

Result

7.72864 =
24152
3125
Mixed number:
7
2277
3125

Step 1: Identify the number of decimal places

The decimal 7.72864 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

7.72864 × 100000 = 772864

Step 3: Write as a fraction

7.72864 =

772864
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 772864 and 100000.

GCD(772864, 100000) = 32

Divide both the numerator and denominator by the GCD:

772864
100000

=

772864 ÷ 32
100000 ÷ 32

=

24152
3125
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