Converting 7.722 to a Fraction
Step-by-step explanation of how to convert 7.722 to a fraction

Result

7.722 =
3861
500
Mixed number:
7
361
500

Step 1: Identify the number of decimal places

The decimal 7.722 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

7.722 × 1000 = 7722

Step 3: Write as a fraction

7.722 =

7722
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7722 and 1000.

GCD(7722, 1000) = 2

Divide both the numerator and denominator by the GCD:

7722
1000

=

7722 ÷ 2
1000 ÷ 2

=

3861
500
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