Question

Find $\dfrac{{ - 4}}{5} \times \dfrac{3}{7} \times \dfrac{{15}}{{16}} \times \left( {\dfrac{{ - 14}}{9}} \right)$

Answer 1

Hint: The above problem is based on the multiplication of fraction having integers present in the fraction.

Fractions are the part of a whole or more generally any number of equal parts .

Integers are the whole number which includes negative numerals as well as well positive numerals.

Using the above information we will solve the given fraction, multiplication.

Complete step-by-step answer:

Let's discuss fractions a bit more and then we will solve the given fractions.

A fraction is a part of the whole or any number of equal parts. A fraction describes how many parts of a certain size are there, for example one third (1/3), one fifth(1/5) etc. A fraction consists of a numerator and denominator. The upper part of the fraction is called numerator and the lower part is called denominator. For the existence of the fraction denominator the fraction can never be zero because if the denominator becomes zero the whole fraction will become infinite.

Now, we solve the given fraction multiplication series;

When the fraction is multiplied then we do not have to take the LCM, but simply we can directly multiply the numerator and denominator and can cancel the integers if the number is a multiple of any number.

$ \Rightarrow \dfrac{{ - 4}}{5} \times \dfrac{3}{7} \times \dfrac{{15}}{{16}} \times \left( {\dfrac{{ - 14}}{9}} \right)$( In the given expression we can cancel 5 with 15 , 16 with 4, 14 with 7 )

After cancellation the expression will become;

$ \Rightarrow \left( { - 2} \right) \times \left( {\dfrac{{ - 1}}{4}} \right)$ (on further cancellation and on multiplying two negative values we get positive value)

$ \therefore \dfrac{1}{2}$ is the solution of the given fraction.

Note:

Fractions are of different types such as proper fractions which are less than a whole, when the fraction is more than a whole is called an improper fraction, Mixed fraction in which the whole number and a fractional value get mixed. Fractions can easily represent the part of the whole which is easy to understand.