Converting 30.9796 to a Fraction
Step-by-step explanation of how to convert 30.9796 to a fraction

Result

30.9796 =
77449
2500
Mixed number:
30
2449
2500

Step 1: Identify the number of decimal places

The decimal 30.9796 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

30.9796 × 10000 = 309796

Step 3: Write as a fraction

30.9796 =

309796
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 309796 and 10000.

GCD(309796, 10000) = 4

Divide both the numerator and denominator by the GCD:

309796
10000

=

309796 ÷ 4
10000 ÷ 4

=

77449
2500
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