Question

Multiply and write your answer in the lowest form.
 $ \dfrac{3}{8} \times 7 $

Answer 1

Hint: In this question we have to find the lowest form of the given numbers by multiplying them and converting them into fractional form. The lowest form of the number is obtained when the final answer is written in the fractional form. The fractional form is obtained after reducing and simplifying the given numbers. If the answer obtained in the simple fraction has the value of the numerator greater than the value of the denominator then we have to change the simple fraction into the mixed fraction.

Complete step-by-step answer:
Given:
The numbers given for which we have to do the multiplication and find the lowest form are –
 $ \dfrac{3}{8} \times 7 $
Now we can solve this in the following way –
 $
 \Rightarrow \dfrac{3}{8} \times 7 = \dfrac{{3 \times 7}}{8}\\
 = \dfrac{{21}}{8}
 $
Now since the Numerator of the number obtained is greater than the Denominator, we have to write this in the Mixed Fraction form.
So, we can write
 $ \dfrac{{21}}{8} $ as –
 $ \Rightarrow \dfrac{{21}}{8} = 2\dfrac{5}{8} $
Therefore, the lowest form of $ \dfrac{3}{8} \times 7 $ is $ \Rightarrow 2\dfrac{5}{8} $

Note: In order to convert the 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{{21}}{8} $ into mixed fractional form. So, we divide the numerator 21 by the denominator 8. So, we have –
Divisor $ = 8 $
Dividend $ = 21 $
Quotient $ = 2 $
And,
Reminder = 21 - 16= 5
Therefore, the mixed fractional form of the number $ \dfrac{{21}}{8} $ is $ \Rightarrow 2\dfrac{5}{8} $