Question

What's the difference between 1261⁄4 and 78 2⁄3? 

A. 48 1⁄3   B. 47 7⁄12   C. 58 5⁄12   D. 57 7⁄12

Answer 1

126 1/4 - 78 2/3 =
505/4 - 236/3 =
1515/12 - 944/12 =
571/12 =
47 7/12 <==

Answer 2

Answer: The answer is (B)
`47(7)/(12)`.

Step-by-step explanation: We are given to find the difference between the following two numbers:

`n_1=126(1)/(4),~~~n_2=78(2)/(3).`

To find the difference, we need to subtract the smaller number from the larger one.

Since,
`n_1>n_2`, so the difference is given by

`d\\\\=n_1-n_2\\\\=126(1)/(4)-78(2)/(3)\\\\=(505)/(4)-(236)/(3)\\\\=(505*3-236*4)/(12)\\\\=(1515-944)/(12)\\\\=(571)/(12)\\\\=47(7)/(12).`

Thus, (B)
`47(7)/(12)` is the correct option.