what should be added to (-7/20) to get (-2/5)
Answers
Answer:
-1 SᕼOᑌᒪᗪ ᗷE ᗩᗪᗪEᗪ
Step-by-step explanation:
ᑭᒪS ᗰᗩᖇK ᗰE ᗩS ᗷᖇᗩIᑎᒪIEST
ᗩᑎᗪ ᖴOᒪᒪOᗯ ᖴOᖇ ᗰOᖇE
★ To obtain the rational number (−2/5), (−7/20) must be added with (−1/20).
Step-by-step explanation
Analysis:-
⠀⠀⠀In the question, it has been stated that a rational number should be added to (−7/20). When it's done, we will obtain the rational number (−2/5). We have been asked to find what the rational number is.
Solution:-
⠀⠀⠀Let's consider the rational number as "x". So, as per the analysis, the equation that forms in this case is:
Here the value of x is the required answer. So, let's start solving the equation.
1) Write the equation nearly in a paper.
2) Now transpose the like terms. Here, (−7/20) and (−2/5) are like terms. So, on transposing (−7/20) to the R.H.S., we get,
Note: While performing transposition in solving an equation, the mathematical operators will be changed like:
- (+) changes to (−) and vice-versa.
- (×) changes to (÷) and vice-versa.
Hence, (−2/5) has been written as (2/5) in the R.H.S.
3) Simplify the R.H.S. in the equation. Since the denominators aren't same, find the L.C.M. of the denominators.
We've obtained the L.C.M. of the denominators, i.e., 20. Now, let's make their denominators same.
This is the required answer.
Verification:-
⠀⠀⠀Plug in the value of x in the equation formed.
The values of L.H.S. ans R.H.S are same. Hence, the answer obtained is correct.