Answer: yes when your adding or subtracting fractions you must find the common denominator between the two before you continue.
Step-by-step explanation:
Example: 2/4+3/2
Find the common denominator. ( in this case the common denominator is 4)
We keep the first fraction as it is cause it has the denominator 4 and we multiply the second fraction by 2 up and down to get a denominator of 4. The equation becomes 2/4+6/4
Now you add the numerators and you got your answer ( don’t forget to simplify)
The answer after adding in this case is 8/4 and when simplified it is 2
F(x)= 2x-6
Y=Mx+b
B= y intercept= -6
M= how many times it went up so 2 times
Hope this helped :))
The answer would be -20 because you add and subtract your numbers to get 20
Let's call the two numbers and .
Given these variables, we can say: , based on the first sentence in the problem.
Also, remember that the reciprocal of a number is simply 1 divided by the number. Thus, we can say that:
To solve, we can simply substitute in for in the second equation and solve.
- Get terms on the left side to a common denominator for easier addition
- Cross multiplication ()
- Subtract from both sides of the equation
- Factor left side of the equation
Now, notice that we have found two solutions, but the problem is only asking for one. This <em>likely </em>means that one of our solutions is extraneous. Let's take a look. Remember that the smaller positive number is equal to 14 less than the larger number. However,
,
Since is not positive in this case, is not a solution.
Thus, is our only solution. In this case,
,
which means that the smaller number is 14 and the larger number is 28.