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Q.

Multiply and reduce to lowest form and convert into a mixed fraction: Question Image we get ____.

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Detailed Solution

Concept- Question Image will give answer 9 on solving.  Here, we will proceed by multiplying the number 15 to the numerator of the fraction Question Image and then, we will be canceling the numbers according to the algebra this will give the lowest form of the given number.
Let the number which needs to be reduced to the lowest form and needs to be converted into a mixed fraction is given by Question ImageNow, equation (1) can be rewritten as under
Question ImageIn the equation above, the number 5 in the denominator of RHS will be divided by the number 15 in the numerator of RHS. This will cause the numerator to have the number 3 as a result.
Question ImageQuestion ImageThe denominator of the above number 9, which is 1, is 1.
Question ImageThe above equation represents the lowest form of Question ImageQuestion ImageThe number 5 in the denominator of RHS of the above equation will be getting divided by the number 15 in the numerator of RHS of the above equation. This will result in occurrence of number 3 in the numerator.
Question ImageQuestion ImageThis above number 9 is having number 1 as the denominator
Question ImageThe above equation represents the lowest form of Question ImageAlso, the mixed fraction representation of any number which when expressed as a fraction having the denominator as 1 will be the same as the number.
Therefore, Lowest form of Question Image Mixed fraction of Question Image.
Hence, the correct answer is 9
 
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