Converting 10.75684 to a Fraction
Step-by-step explanation of how to convert 10.75684 to a fraction
Result
10.75684 =
268921
25000
Mixed number:
10
18921
25000
Step 1: Identify the number of decimal places
The decimal 10.75684 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
10.75684 × 100000 = 1075684
Step 3: Write as a fraction
10.75684 =
1075684
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1075684 and 100000.
GCD(1075684, 100000) = 4
Divide both the numerator and denominator by the GCD:
1075684
100000
=
1075684 ÷ 4
100000 ÷ 4
=
268921
25000
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