Question

Show two ways to calculate 1 2/3 and 2 1/4

Answer 1

• one

1 2/3 = 1 + 2/3

2 1/4 = 2 + 1/4

(1 + 2/3) + (2 + 1/4) = (1 + 2) + (2/3 + 1/4) = 3 + (2/3 + 1/4)

= 3 + (8/12 + 3/12)

= 3 + 11/12

= 3 11/12

• two

1 2/3 = 3/3 + 2/3 = 5/3

2 1/4 = 8/4 + 1/4 = 9/4

then:

1 2/3 + 2 1/4 = 5/3 + 9/4

= 20/12 + 27/12

= 47/12

= 36/12 + 11/12

= 3 + 11/12

= 3 11/12