Converting 5.9808 to a Fraction
Step-by-step explanation of how to convert 5.9808 to a fraction

Result

5.9808 =
3738
625
Mixed number:
5
613
625

Step 1: Identify the number of decimal places

The decimal 5.9808 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

5.9808 × 10000 = 59808

Step 3: Write as a fraction

5.9808 =

59808
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 59808 and 10000.

GCD(59808, 10000) = 16

Divide both the numerator and denominator by the GCD:

59808
10000

=

59808 ÷ 16
10000 ÷ 16

=

3738
625
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