Add and express the sum as a mixed fraction: $ - 12/5$and $43/10$

Hint- We need to add two fractional numbers to solve this problem so first we will add both of them by taking LCM further to write it in a mixed fraction form and divide the obtained number to the denominator and get the rest.

Complete step-by-step answer:
Given fractional numbers are $ - 12/5$and $43/10$
First we will add both of them so we get
\[ - 12/5 + 43/10\]
Now, to solve it we will take the LCM of denominator
Here LCM of denominators $(5,10)$ is $10$.
So we can write the above equation as.
\[( - 24 + 43)/10\]
Further by solving it we have
\[19/10\]
Therefore the addition of given fractional number is \[19/10\]
Now we will write it in mixed fraction

Step 1: Divide the Fraction’s numerator with the denominator so we get \[19/10\]

Step 2: The integer part of the answer will be the integer part for a mixed fraction. Therefore \[1\] is an integer.

Step 3: The Denominator will be the same as original as \[10\].

Step 4: Numerator will be the remainder that will get whole division here when we divide\[19\] by \[10\] we will get remainder as \[9\]

Step 5: So, the improper fraction \[19/10\] is changed to a Mixed fraction as \[1\left( {9/10} \right).\]
So we can write it as \[1\left( {9/10} \right).\]

Note- A fraction is a number which represents a part of an entire. The entire may be either a single entity or a collection of objects. A fraction is a number which represents a part of an entire. A fraction can be expressed in the form \[a{\text{ }}/{\text{ }}b,\]with \[a,{\text{ }}b\] and \[b \ne 0\].