Converting 10.2 to a Fraction
Step-by-step explanation of how to convert 10.2 to a fraction
Result
10.2 =
51
5
Mixed number:
10
1
5
Step 1: Identify the number of decimal places
The decimal 10.2 has 1 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 101 = 10 to eliminate the decimal point.
10.2 × 10 = 102
Step 3: Write as a fraction
10.2 =
102
10
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 102 and 10.
GCD(102, 10) = 2
Divide both the numerator and denominator by the GCD:
102
10
=
102 ÷ 2
10 ÷ 2
=
51
5
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