Converting 34.9792 to a Fraction
Step-by-step explanation of how to convert 34.9792 to a fraction

Result

34.9792 =
21862
625
Mixed number:
34
612
625

Step 1: Identify the number of decimal places

The decimal 34.9792 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

34.9792 × 10000 = 349792

Step 3: Write as a fraction

34.9792 =

349792
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 349792 and 10000.

GCD(349792, 10000) = 16

Divide both the numerator and denominator by the GCD:

349792
10000

=

349792 ÷ 16
10000 ÷ 16

=

21862
625
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