Converting 0.7687 to a Fraction
Step-by-step explanation of how to convert 0.7687 to a fraction

Result

0.7687 =
7687
10000

Step 1: Identify the number of decimal places

The decimal 0.7687 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.7687 × 10000 = 7687

Step 3: Write as a fraction

0.7687 =

7687
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7687 and 10000.

GCD(7687, 10000) = 1

Divide both the numerator and denominator by the GCD:

7687
10000

=

7687 ÷ 1
10000 ÷ 1

=

7687
10000
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