Question

If you divide an inheritance of $ \$45,600.00$ among 22 heirs, how much will each heir receive?

Answer 1

Hint: Here in this question, we are given an inheritance which is to be divided among the heirs by the method of division. Mainly we need to find how much inheritance each heir will receive after division. Heir is the one who receives the property of ancestors from his parents.

Complete step by step answer:
Now let’s come to the question.
This question actually means there is a property of ancestors which is to be divided equally among the children. The meaning of inheritance here is property and the meaning of the heirs is the children who have the right to this inheritance. So the cost of the inheritance given is $ \$45,600.00$ and it is to be divided among 22 heirs. So we will solve this question by dividing and cancelling the terms.
As we all know what division method is.
In the division method, the number which is placed at the centre is to be divided by a number placed outside at the left and solve it till we find the quotient and remainder.
Now if we divide the inheritance among the heirs, we will actually divide the cost by 22:
\[\Rightarrow \$45,600.00\div22\]
\[\Rightarrow \dfrac{\$45,600.00}{22}\]
Now, numerator and denominator with a number which is the lowest common factor. So, we divide the numerator and denominator with 2. We will get:
\[\Rightarrow \dfrac{\$22800.00}{11}\]
As we know that 11 is a prime number, so we directly divide the numerator by 11. We will get:
$\Rightarrow \$2072.72$
So, this is our final answer.

Note: While cancelling the terms, always start from the lowest factor to reduce the chances for mistakes. Students can use a division method for this question but it is quite time consuming. So try to prefer the above method as it is the easiest approach.