These problems are what is known as changing a mixed fraction to an improper fraction. Lets start with 5 1/8.
What we want to do is take the big number on the side and add it to the top of the fraction in a special way to make it an improper fraction. (An improper fraction means a fraction with a bigger top than bottom).
To add 5 to 1/8, we have to multiply 5 by 8 and then add it. 5 times 8 is 40 so if we add that to the top we know that the improper fraction we are looking for is 41/8.
We can do the same thing for 3 4/12, multiply 3 by 12 and add it to the top of the fraction. 3 times 12 is 36, add that to the top to get 40/12.
See if you can do 1 6/12 and comment with an answer, if you get it wrong I will keep helping you till we get this down!
Answer:
c
Step-by-step explanation:
Answer: 8 skates
Step-by-step explanation:
Given that:
Skate rental = $3
Let number of skates rented by cotters = x
Hence, amount paid by cotters = 3x
The Moores paid $6 more
Moores amount = 3x + 6
Combined amount paid = 42
3x + 3x + 6 = 42
6x + 6 = 42
6x = 42 - 6
6x = 36
x = 36 / 6
x = 6
Hence, amount spent by the Moore's:
3x + 6
3(6) + 6 = 18 + 6 = $24
Cost per skate rental = $3
Hence x number of skates rented by the Moore's = $24 / 3 = 8 skates
5*n-4=26
26+4=30
30 divided by 5 =6
answer : 6
Factor out the gcf
4x(x^2-16)
Then factor the inner binomial (difference of squares)
4x(x+4)(x-4)
Final answer: 4x(x+4)(x-4)