Answer: 1-17/30, or 47/30
Step-by-step explanation:
Find the common denominator. In this case, it’s 30. Multiply the numerators to fit the new denominator. (10•3=30, so 9•3=27, and 2•10=20.)
Your new fractions are 27/30 and 20/30. Now add the numerators.
27+20=47.
Your new fraction is 47/30.
Now check if you can simplify. Since 47 is a prime number, this fraction is in its simplest form. However, it is an improper fraction, so you can simplify it to 1-17/30.
hi
x- 3/5 = 5x/ 6
6x - 18/5 = 5x
6x -5x = 18/5
x = 18/5
let's check : 18/5 - 3/5 = 15/5 = 3
5 * 18/5 / 6 = 18/6 = 3
result is correct.
The next three numbers in the pattern would be 768, -3072, 12,288.
<h3>What are the next three numbers?</h3>
Looking at the given sequence, it can be seen that the numbers increase by a multiple of 4.
-12 /3 = 4
48 / 12 = 4
192 / 48 = 4
The next three numbers would be:
192 x 4 = 768
768 x 4 = 3072
3072 x 4 = 12,288.
Examining the numbers, it can be seen that the positive and negative signs alternate. Thus, the numbers would be : 768, -3072, 12,288.
To learn more about mathematical sequence, please check: brainly.com/question/26578277
#SPJ1