Converting 8.1875 to a Fraction
Step-by-step explanation of how to convert 8.1875 to a fraction

Result

8.1875 =
131
16
Mixed number:
8
3
16

Step 1: Identify the number of decimal places

The decimal 8.1875 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

8.1875 × 10000 = 81875

Step 3: Write as a fraction

8.1875 =

81875
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 81875 and 10000.

GCD(81875, 10000) = 625

Divide both the numerator and denominator by the GCD:

81875
10000

=

81875 ÷ 625
10000 ÷ 625

=

131
16
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