Question

Multiply the following. Write the answer as a mixed fraction.
 $ \dfrac{3}{6} \times 10 $

Answer 1

Hint: In this question we have to multiply the given numbers and write the answer in the mixed fractional form. The fractional form is obtained after reducing and simplifying the given numbers. If the answer obtained after simplifying is in the simple fraction form and has the value of numerator greater than the value of the denominator then we have to change the simple fraction into the mixed fraction by using the division method.

Complete step-by-step answer:
Given:
The numbers given for which we have to do the multiplication are –
 $\Rightarrow \dfrac{3}{6} \times 10 $
Now the multiplication can be done in the following way –
 $
\Rightarrow \dfrac{3}{6} \times 10 = \dfrac{{3 \times 10}}{6}\\
 = \dfrac{{30}}{6}
 $
Now after the multiplication and simplifying the numbers the Numerator of the number obtained is greater than the Denominator, so we have to write this in the Mixed Fraction form.
So, we can write $ \dfrac{{30}}{6} $ as –
 $
\Rightarrow \dfrac{{30}}{6} = 5\dfrac{0}{6}\\
\Rightarrow \dfrac{{30}}{6} = 5
 $
Therefore, the mixed fraction form of $ \dfrac{3}{6} \times 10 $ is 5.

Note: It should be noted that to convert the simple fraction which has the value of the numerator greater than the value of the denominator we use the method of division. In this method we divide the numerator value by the denominator value. The quotient obtained by the division will make the base number of the mixed fraction while the remainder will be the numerator of the fractional part of the mixed fraction and the denominator would be the divisor.
For example, in the given question we have to change $ \dfrac{{30}}{6} $ into mixed fractional form. So, we divide the numerator 30 by the denominator 6. So, we have –
Divisor $ = 6 $
Dividend $ = 30 $
Quotient $ = 5 $
And,
Reminder
 $
 = 30 - 30\\
 = 0
 $
Therefore, the mixed fractional form of the number $ \dfrac{{30}}{6} $ is 5.