Answer: option B. [tex]47 \frac{7}{12} [/tex]
Explanation:
1) The first number is a mixed number: 126 and 1/4, so you can convert it into an improper fraction in this way:
126 + 1/4 = (4*126 + 1)/4 = 505 / 4
2) The second number is also a mixed number: 78 and 2/3, so you can convert it into an improper fraction in this way:
78 + 2/3 = (3*78 + 2) / 3 = (234 + 2) / 3 = 236 / 3
3) Now you can find the difference between the two numbers by subtracting fractions:
[tex] \frac{505}{4} - \frac{236}{3} = \frac{505*3-236*4}{12} = \frac{1515-944}{12} = \frac{571}{12} [/tex]
4) Now you can convert 571/12 into a mixed number:
47 + 7/12 = 47 and 7/12 = [tex]47 \frac{7}{12} [/tex]
