Converting 0.767625 to a Fraction
Step-by-step explanation of how to convert 0.767625 to a fraction

Result

0.767625 =
6141
8000

Step 1: Identify the number of decimal places

The decimal 0.767625 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.767625 × 1000000 = 767625

Step 3: Write as a fraction

0.767625 =

767625
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 767625 and 1000000.

GCD(767625, 1000000) = 125

Divide both the numerator and denominator by the GCD:

767625
1000000

=

767625 ÷ 125
1000000 ÷ 125

=

6141
8000
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