Converting 8.4176 to a Fraction
Step-by-step explanation of how to convert 8.4176 to a fraction

Result

8.4176 =
5261
625
Mixed number:
8
261
625

Step 1: Identify the number of decimal places

The decimal 8.4176 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

8.4176 × 10000 = 84176

Step 3: Write as a fraction

8.4176 =

84176
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 84176 and 10000.

GCD(84176, 10000) = 16

Divide both the numerator and denominator by the GCD:

84176
10000

=

84176 ÷ 16
10000 ÷ 16

=

5261
625
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