Question

If you have $5$ tenths of a dollar, how much money do you have?

Answer 1

Hint: This problem is nothing but about simplifying the fraction and also knowing about the conversion of a dollar into cents to change the value into cents. This is a word problem, read the question carefully and write the required expression then find the fraction and then first simplify it and lastly convert it into cents to get the whole number value. One Dollar equals a hundred Cents.

Complete step-by-step solution:
 In order to find the amount of money will we have, we will first understand the statement given in the question, “You have $5$ tenths of a dollar”, five tenths means fifth part of a whole ten and it can be written mathematically as follows
$\$ \dfrac{5}{{10}}$
Now, we get the value in fraction, but we have to simplify it first by dividing numerator and denominator with their highest common factor as follows
$\$ \dfrac{5}{{10}} = \$ \dfrac{1}{2}$
Here we get the simplified form of the amount we will have, that is half dollar but, we should express the amount in whole and for that we will use Cents to express the money we will have,
We know that $1\$ = 100{\text{c}}$
So $\$ \dfrac{1}{2} = \dfrac{1}{2} \times 100{\text{c}} = 50{\text{c}}$

Therefore we will have $50{\text{c}}$ money.M

Note: When solving problems like this in which you have been asked questions in word problem manner, then your first step should be to read and understand the question carefully because word problems have half of their solution in the question, so if you have understood the problem, it means you are already solved half question.