Converting 8.101 to a Fraction
Step-by-step explanation of how to convert 8.101 to a fraction

Result

8.101 =
8101
1000
Mixed number:
8
101
1000

Step 1: Identify the number of decimal places

The decimal 8.101 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

8.101 × 1000 = 8101

Step 3: Write as a fraction

8.101 =

8101
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8101 and 1000.

GCD(8101, 1000) = 1

Divide both the numerator and denominator by the GCD:

8101
1000

=

8101 ÷ 1
1000 ÷ 1

=

8101
1000
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