Question

hat's the difference between 1261⁄4 and 78 2⁄3? A. 48 1⁄3 B. 47 7⁄12 C. 57 7⁄12 D. 58 5⁄12

Answer 1

(126 1/4) - (78 2/3)
(126 3/12) - (78 8/12)
(125 15/12) - (78 8/12)
47 7/12
Your answer is letter (B)

Answer 2

Answer: option B.
`47 (7)/(12)`

Step-by-step 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:


`(505)/(4) - (236)/(3) = (505*3-236*4)/(12) = (1515-944)/(12) = (571)/(12)`

4) Now you can convert 571/12 into a mixed number:

47 + 7/12 = 47 and 7/12 =
`47 (7)/(12)`