Question

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

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) $47\dfrac{7}{12}$.

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

$n_1=126\dfrac{1}{4},~~~n_2=78\dfrac{2}{3}.$

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

$d\\\\=n_1-n_2\\\\=126\dfrac{1}{4}-78\dfrac{2}{3}\\\\=\dfrac{505}{4}-\dfrac{236}{3}\\\\=\dfrac{505\times3-236\times4}{12}\\\\=\dfrac{1515-944}{12}\\\\=\dfrac{571}{12}\\\\=47\dfrac{7}{12}.$

Thus, (B) $47\dfrac{7}{12}$ is the correct option.