Question

HELPPPPP PLEASE!!

Melanie went to the hardware store and bought 2 1/2gallons of white paint and 1 1/4 gallons of black paint. How many gallons of paint did Melanie buy altogether?



A student solved the problem this way: 2 1/4 + 1 1/4 = 2 2/4 + 1 1/4 =3 3/4







Melanie bought 3 3/4gallons of paint.



Use a similar strategy to solve this problem.



Juan bought 1 1/9 gallons of black paint, 2 1/3 gallons of white paint, and 3/4 a inch paint brush.



How many gallons of paint did Juan buy altogether?




A.
3 2/9gallons


B.
3 1/3 gallons


C.
3 4/9 gallons


D.
3 4/3 gallons

Answer 1

The answer is D.
To solve it, you have to add the fractions.
1) Since it is in mixed numbers, you have to turn the fractions to improper.
     2 1/2  +  1 1/4  = 5/2 + 5/4

2) Next find the lowest common multiples of the denominators( 2 and 4)
    2: 2, 4
    4: 4

3) Solve
    5 x 2
    2 x 2   = 10/4  10/4 + 5/4 = 15/4  <--make sure you only add the nominators after you find the common multiples.

4) Turn into a proper fraction
     15/4 =  3 3/4

There are 3 3/4 gallons of paint all together. Therefore, answer D is correct.