Question

sam bought 2 1/4 pounds of swiss cheese 1 1/2 pounds of cheddar at the deli how many pounds of cheese did sam buy altogether

Answer 1

2 1^/4 + 11^/2 = 9^/4 + 3^/2 = 9^/4 + 6^/4 = 15^/4 = 3 3^/4

Answer 2

Answer:

$\frac{15}{4}$ pounds of cheese Sam had bought altogether.

Explanation:

Mass of Swiss cheese bought by  Sam = $2\frac{1}{4}=\frac{9}{4} pounds$

Mass of cheddar cheese bought by  Sam = $1\frac{1}{2}=\frac{3}{2} pounds$

Total mas of cheese bought by Sam:

$\frac{9}{4} pounds+\frac{3}{2} pounds$

$=\frac{9\times 2+3\times 4}{4\times 2} pounds=\frac{30}{8} pounds=\frac{15}{4} pounds$

$\frac{15}{4} pounds=3\frac{3}{4}$ pounds

$\frac{15}{4}$ pounds of cheese Sam had bought altogether.