Question

solve the following 1/4÷2/3+6/5​

Answer 1

Answer:

63/40

Step-by-step explanation:

You have to start out by flipping the reciprocal of the second number, then change the division sign to a multiplication sign to get something that looks like this:

$\frac{1}{4}$×$\frac{3}{2}$+$\frac{6}{5}$

Then, you need to follow operations orders (parenthesis, brackets, groups; exponents; multiplication, division; add, subtract), so you need to do $\frac{1}{4}$×$\frac{3}{2}$ first, before adding the 6/5. When you multiply, you get 3/8, so all you’re left to do is add the 6/5. However, you need to get them to have the same denominator since you are adding (you do not need to have a common denominator when multiplying or dividing, only add and subtract). You have to find the smallest common denominator, which wouled be 40. You have to multiply 3/8 by 5/5, and 6/5 by 8/8 to get 15/40 + 48/40.

Then, you would just add like you normally would to get 63/40. You cannot simplify unless you want to get a mixed number. If you would prefer a mixed number instead of an improper fraction, then you would get ${1}\frac{23}{40}$.

I hope this helps. Let me know if you need any clarification.