Converting 0.77758 to a Fraction
Step-by-step explanation of how to convert 0.77758 to a fraction

Result

0.77758 =
38879
50000

Step 1: Identify the number of decimal places

The decimal 0.77758 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.77758 × 100000 = 77758

Step 3: Write as a fraction

0.77758 =

77758
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 77758 and 100000.

GCD(77758, 100000) = 2

Divide both the numerator and denominator by the GCD:

77758
100000

=

77758 ÷ 2
100000 ÷ 2

=

38879
50000
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