Converting 0.0769 to a Fraction
Step-by-step explanation of how to convert 0.0769 to a fraction

Result

0.0769 =
769
10000

Step 1: Identify the number of decimal places

The decimal 0.0769 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.0769 × 10000 = 769

Step 3: Write as a fraction

0.0769 =

769
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 769 and 10000.

GCD(769, 10000) = 1

Divide both the numerator and denominator by the GCD:

769
10000

=

769 ÷ 1
10000 ÷ 1

=

769
10000
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