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!
I can't read the questions even after they are magnified. I have an idea, and I may be able to help you after, but you should do this:
Use the snipping tool to copy the answers down, then you should post.
I may be able to help you then if you share with the picture that way. Hope I was a little help!
Answer:
$0.78 per tube
Step-by-step explanation:
18.72 divided by 24
<span>Write
an algebraic expression for three fourths the square of b
=> Algebraic expression is the expression that shows both integers,
variables, symbols and operations like addition, subtraction, division, and
multiplication.
=> three fourth is a fraction which is equals to 3/4
=> square of b is an exponent which is equals to b<span>2
</span>=> thus, the algebraic expression of three fourths the square of b is
equals to:
=> ¾ x b2 or 3b2 / 4</span>
Answer:
Only one <u>must</u> be true
Step-by-step explanation: