In general to be able to add or subtract fractions you need to have the same denominator so that you can add the numerators.
The easiest way to find the same denominator is to identify the lowest common denominator (LCD).
You can find the LCD by finding the prime factors of the denominators in question and multiplying them all together. If the denominators share a prime factor, only multiply it once.
Sometimes you can just eyeball the numbers to find the LCD, which might be faster.
For #W we need to find the LCD of 10 and 6, so prime factorize:
10 = 2 x 5
6 = 2 x 3
LCD = 2 x 5 x 3 = 30
The LCD is 30, so we need to change the fraction to reflect that. Remember, what you do to the denominator you need to do to the numerator as well. So:
-9/10 becomes -27/30 (both multiplied by 3)
-1/6 becomes -5/30 (both multiples by 5)
Now you can easily add:
-27/30 + (-5/30) = -32/30
In summary:
Step #1: find LCD (prime factor or eyeball)
Step #2: multiply the numerator of each fraction by the factor needed to obtain the LCD in that denominator
Step #3: add the fractions now that they have the LCD
Here’s the solution to #G:
-¾ + (-7/12)
Step #1:
4 = 2 x 2
12 = 2 x 2 x 3
LCD = 2 x 2 x 3 (count each unique prime factor once)
Step #2:
-¾ becomes -9/12 (both multiplied by 3)
-7/12 stays the same (it already has the LCD)
Step #3:
-9/12 + (-7/12) = -16/12
Let me know if you have any questions. Try to work though the others!
Answer:
8482.3 inches
Step-by-step explanation:
You have to find the circumference of the wheel.
If the radius is 13.5, the diameter is 27 (13.5 x 2).
C = πd
C = π × 27
C = 27π
100 rotations means 27π × 100 = 2700π
= 8482.3 inches
Answer: 513 campers
Explanation
The total number of boys in the camp is 278
There are 43 fewer girl campers than boy
Let the total number of campers be x
Let the total number of girl campers be y
Since, there are 43 fewer girl campers than boy
Hence, the total number of girl campers is
y = Boy campers - 43
Boy campers = 278
y = 278 - 43
y = 235
Since, y is the total number of girl campers, hence, the total number of girl campers is 235
The total number of campers = number of boy campers + number of girl campers
The total number of campers = 278 + 235
The total number of campers = 513 campers
The answer is 513 camperst
The answer is A, y = (x+3)^2 -3
8 and 4
8+4=12
8-4=4
hope this helps
