Converting 8.1785 to a Fraction
Step-by-step explanation of how to convert 8.1785 to a fraction

Result

8.1785 =
16357
2000
Mixed number:
8
357
2000

Step 1: Identify the number of decimal places

The decimal 8.1785 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

8.1785 × 10000 = 81785

Step 3: Write as a fraction

8.1785 =

81785
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 81785 and 10000.

GCD(81785, 10000) = 5

Divide both the numerator and denominator by the GCD:

81785
10000

=

81785 ÷ 5
10000 ÷ 5

=

16357
2000
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