Explanation:
17.
he needs 2 1/2 gallons for 1 kitchen. and he has 20 gallons.
2 1/2 = (2×2 + 1)/2 = 5/2
so, he can paint
20 / 5/2 = 20/1 / 5/2 = 2×20 / 5×1 = 40/5 = 8
he can paint 8 kitchens.
18.
he needs 4 1/3 gallons for 1 living room. and he has 26 gallons.
4 1/3 = (4×3 + 1)/3 = 13/3
so, he can paint
26 / 13/3 = 26/1 / 13/3 = 3×26 / 13×1 = 78/13 = 6
he can paint 6 living rooms.
19.
he needs 3 3/4 gallons for 1 bedroom. and he has 60 gallons.
3 3/4 = (3×4 + 3)/4 = 15/4
so, he can paint
60 / 15/4 = 60/1 / 15/4 = 4×60 / 15×1 = 240/15 = 16
he can paint 16 bedrooms.
21.
the quotient is the result of a division.
a ÷ small has a bigger result than a ÷ large.
in our case
2 1/2 is smaller than 3 1/2
a = 5 1/4
so, 5 1/4 ÷ 2 1/2 is bigger than 5 1/4 ÷ 3 1/2
24.
A
18 3/4 / 2 1/2 = (4×18 + 3)/4 / (2×2 + 1)/2 =
= 75/4 / 5/2 = 2×75 / 4×5 = 150/20 =
= 7.5 = 7 1/2
since he can't use just half a piece of ribbon for packaging, we have to round down to the nearest whole number : 7.
he can decorate 7 packages.
B
now we need to divide 18 3/4 by 1 1/4
18 3/4 / 1 1/4 = 75/4 / (4×1 + 1)/4 = 75/4 / 5/4 =
= 4×75 / 4×5 = 300/20 = 15
he can decorate 15 small packages.
that are 15 - 7 = 8 more small packages he can decorate than large packages.