Converting 10.101 to a Fraction
Step-by-step explanation of how to convert 10.101 to a fraction
Result
10.101 =
10101
1000
Mixed number:
10
101
1000
Step 1: Identify the number of decimal places
The decimal 10.101 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
10.101 × 1000 = 10101
Step 3: Write as a fraction
10.101 =
10101
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 10101 and 1000.
GCD(10101, 1000) = 1
Divide both the numerator and denominator by the GCD:
10101
1000
=
10101 ÷ 1
1000 ÷ 1
=
10101
1000
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