Converting 0.77954 to a Fraction
Step-by-step explanation of how to convert 0.77954 to a fraction

Result

0.77954 =
38977
50000

Step 1: Identify the number of decimal places

The decimal 0.77954 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.77954 × 100000 = 77954

Step 3: Write as a fraction

0.77954 =

77954
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 77954 and 100000.

GCD(77954, 100000) = 2

Divide both the numerator and denominator by the GCD:

77954
100000

=

77954 ÷ 2
100000 ÷ 2

=

38977
50000
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