Question

Darren has 2 5/8 gallons of red paint

and 1 5/6 gallons of blue paint. How
many gallons of paint does Darren
have altogether?


My estimate:
#
gallons of paint

gallons​

Answer 1

4 11/24

Explanation:

2+1=3

5/8*6=30/48

5/6*8=40/48

30/48+40/48=70/48

70/48=1 22/48

3+1=4

22/48=11/24

4+11/24=4 11/24

Answer 2

Explanation:

`2(5)/(8)+1(5)/(6)=2+1+(5)/(8)+(5)/(6)\\\\=3+(5)/(8)+(5)/(6)\\\\`

Least common denominator of 6 & 8 = 24

`=3+(5*3)/(8*3)+(5*4)/(6*4)\\\\=3+(15)/(24)+(20)/(24)\\\\=3+(15+20)/(24)\\\\=3+(35)/(24)\\\\=3+1(11)/(24)\\\\=4(11)/(24)\\`