Converting 5.0778 to a Fraction
Step-by-step explanation of how to convert 5.0778 to a fraction

Result

5.0778 =
25389
5000
Mixed number:
5
389
5000

Step 1: Identify the number of decimal places

The decimal 5.0778 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

5.0778 × 10000 = 50778

Step 3: Write as a fraction

5.0778 =

50778
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 50778 and 10000.

GCD(50778, 10000) = 2

Divide both the numerator and denominator by the GCD:

50778
10000

=

50778 ÷ 2
10000 ÷ 2

=

25389
5000
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