Converting 8.1784 to a Fraction
Step-by-step explanation of how to convert 8.1784 to a fraction

Result

8.1784 =
10223
1250
Mixed number:
8
223
1250

Step 1: Identify the number of decimal places

The decimal 8.1784 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

8.1784 × 10000 = 81784

Step 3: Write as a fraction

8.1784 =

81784
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 81784 and 10000.

GCD(81784, 10000) = 8

Divide both the numerator and denominator by the GCD:

81784
10000

=

81784 ÷ 8
10000 ÷ 8

=

10223
1250
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