Question

Multiply and reduce to lowest form and convert into a mixed fraction: $15 \times \dfrac{3}{5}$.

Answer 1

Hint: Here, we will proceed by multiplying the number 15 to the numerator of the fraction $\dfrac{3}{5}$ and then, we will be cancelling the numbers according to the algebra this will give the lowest form of the given number.

Complete step-by-step answer:
Let the number which needs to be reduced to the lowest form and needs to be converted into a mixed fraction is given by $x = 15 \times \dfrac{3}{5}{\text{ }} \to {\text{(1)}}$
Now, equation (1) can be rewritten as under
$ \Rightarrow x = \dfrac{{15 \times 3}}{5}$
The 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.
 $
   \Rightarrow x = \dfrac{{3 \times 3}}{1} = 3 \times 3 \\
   \Rightarrow x = 9 \\
 $
This above number 9 is having number 1 as the denominator
$ \Rightarrow x = \dfrac{9}{1} = 9$
The above equation represents the lowest form of $15 \times \dfrac{3}{5}$
Also, 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 $15 \times \dfrac{3}{5}$ = Mixed fraction of $15 \times \dfrac{3}{5}$ = 9.

Note- The denominator of any fraction should never be equal to zero else this fraction will be not defined. For any fraction $\dfrac{p}{q}$ having its denominator not equal to 0 or 1 i.e., $q \ne 0$ and $q \ne 1$, the mixed fraction representation is given by $a\dfrac{b}{q}$ where a and b are the quotient and remainder respectively when p is divided by q.