Converting 6.7778 to a Fraction
Step-by-step explanation of how to convert 6.7778 to a fraction

Result

6.7778 =
33889
5000
Mixed number:
6
3889
5000

Step 1: Identify the number of decimal places

The decimal 6.7778 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

6.7778 × 10000 = 67778

Step 3: Write as a fraction

6.7778 =

67778
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 67778 and 10000.

GCD(67778, 10000) = 2

Divide both the numerator and denominator by the GCD:

67778
10000

=

67778 ÷ 2
10000 ÷ 2

=

33889
5000
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