Can you solve and explain all of these please 16. 17 4/5 +23 3/5 =

17. 4 1/2 - 2 2/3=

18. 7 - 3 1/3=

19. 14 3/4 - 1/6=

16. 40 7/5

17. 2 2/3

18. 6

19. 31/3

Step-by-step explanation:

Fraction math  or rationals.. okay

Step-by-step explanation:

the denominators need to be the same to add or subtract fractions... that is. the number in the bottom part of the fraction.

16)     17+23 + 4/5 +3/5  =  40+7/5   then reduce that improper fraction to 1 2/5

so your answer for  looks like 41 2/5

17)   4 1/2 - 2 2/3  get the denominators of the fractions the same first,  so  multiply (1/2 ) * 3 b/c it's the denominator of the other fraction.   so it's 3/6 now.. just another way to represent 1/2  = 3/6   then multiply (2/3 )*2 b/c it's the number in the denominator of the other fraction .. again.. so you have 4/6 =2/3 just another way to write that one too..   so then subtract 3/6-4/6 use that idea of taking one down from the upper digit.. so bring a 1 from the 4 which can be represented as 6/6  =1  add it to 3/6 +6/6  so you have 9/6-4/6=5/6  see?  4 is now 3 from the whole number  3-2=1 and 5/6 is the fraction so 1 5/6

18) 7 - 3 1/3   same idea bring down a whole 1 from the 7 and put it in the form of the other fractions denominator  so 3/3- 1/3 = 2/3   then 6-3 = 3  so you have 3 2/3

19) 14 3/4 - 1/6    just do the fractional part   3/4 - 1/6  ... get the denominators the same   (3/4 )*6= 18/24   and (1/6)4=4/24  then subtract 18/24-4/24=14/24 and put that fractional part with the whole number so you have 14 14/24 but usually we reduce a fraction if we can.. so  14 7/12  got it?

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

a c

step-by-step explanation: