Question

The fuel gauge in Mrs. Jensen’s car showed $\dfrac{3}{4}$ of a tank of gas. After driving into the city and back, the gauge showed $\dfrac{1}{4}$ of a tank of gas. How much gas did Mrs. Jensen's use?

Answer 1

Hint: For solving this particular problem we just have to take difference of the gas present at the initial stage that is $\dfrac{3}{4}$ with the gas present at the final stage that is $\dfrac{1}{4}$ . Difference of the two gives us the amount of gas Mrs Jensen used.

Complete step-by-step solution:
Mrs. Jensen started with $\dfrac{3}{4}$ of a tank of gas and ended with $\dfrac{1}{4}$ of a tank of gas. She used the difference of the two that is ,
$ \Rightarrow \dfrac{3}{4} - \dfrac{1}{4} = \dfrac{2}{4} = \dfrac{1}{2}$
Therefore , Mrs. Jensen uses $\dfrac{1}{2}$ of a tank of gas.
Since there is no more information, we won't say what quantity gas in gallons was used.

Additional Information:
Addition and subtraction of integers is a bit complex. Addition and subtraction are the two functions that are the fundamental mathematical functions. In integers this function is a bit complicated because of the presence of a specific sign before the amount. However, once you add or subtract two numbers with the identical sign you are doing as directed, but if the numbers have different signs then it's different.
If there's subtraction between a positive and a negative number then there's addition.

Rules of integers for addition and subtraction :
1) If the two numbers have different signs like positive and negative then subtract the two numbers and provide the sign of the larger number.
2) If the two numbers have the same sign i.e. either positive or negative signs then add the two numbers and provide the common sign.
3) $(positive) \times (positive)$ = $positive sign$
4) $(negative) \times (negative)$ = $negative sign$
5) $(positive) \times (negative)$ = $negative sign$
6) $(negative) \times (positive)$ = $negative sign$

Note: The solution of the addition or subtraction between two numbers will have the sign of the greater number. If there's subtraction between a positive and a negative number then there's addition.