Question

Find the value $\dfrac{3}{7} + (\dfrac{{ - 6}}{{11}}) + (\dfrac{{ - 8}}{{21}}) + (\dfrac{5}{{22}})$

Answer 1

Hint: The addition is the sum adding process of two or more than two numbers, or values, or variables, and in addition, if we sum the two or more numbers a new frame of the number will be found.
Subtraction operation, which is the minus of two or more than two numbers or values but here comes with the condition that in subtraction the greater number sign will stay constant example $2 - 3 = - 1$ three has the greater sign with negative thus the resultant answer is negative if suppose three is positive and two is negative then the resultant answer will be positive.

Complete step by step answer:
The inverse of the multiplication method is called the division. For division, like $x \times y = z$ is multiplication thus the division is seen as $x = \dfrac{z}{y}$. We usually need to memorize the multiplication tables in childhood so it will help to do maths.
First take the starting term which is $\dfrac{3}{7}$, then divide this using the division operation $7\left| \!{\overline {\,
 3 \,}} \right. = 0.428$where $0.428$is the remainder while dividing the values.
Similarly, take the next term which is $(\dfrac{{ - 6}}{{11}})$and applying the same process we get, $ - 11\left| \!{\overline {\,
 6 \,}} \right. = - 0.545$is the remainder.
For the third term, we have $(\dfrac{{ - 8}}{{21}})$ to apply the same process we get, $ - 21\left| \!{\overline {\,
 8 \,}} \right. = - 0.38$which is the remainder.
Finally for the value $(\dfrac{5}{{22}})$ applying the same process we get, $22\left| \!{\overline {\,
 5 \,}} \right. = 0.22$is the remainder.
Hence in total, we get $\dfrac{3}{7} + (\dfrac{{ - 6}}{{11}}) + (\dfrac{{ - 8}}{{21}}) + (\dfrac{5}{{22}})$$ = 0.428 - 0.545 - 0.38 + 0.22$
Now with the help of addition and subtraction operation, we can conclude that,
$\dfrac{3}{7} + (\dfrac{{ - 6}}{{11}}) + (\dfrac{{ - 8}}{{21}}) + (\dfrac{5}{{22}})$$ = 0.428 - 0.545 - 0.38 + 0.22$$ = - 0.277$ is the required answer.

Note: Similarly like the operation addition, subtraction and division we will see what is multiplication, Multiplicand refers to the number multiplied. The multiplier is the number that refers to the number which multiplies the first number.
Have a look at an example; while multiplying $5 \times 7$ the number $5$ is called the multiplicand and the number $7$ is called the multiplier. Thus $3.87$ is the multiplicand and $1.25$ is called the multiplier.
We used the simplification method and also the LCM method to solve the given question, other than these two methods, there is no possibility to the requirement.