Question

Sandra's dog weighs 3 1/2 pounds. Each dog he gains 2/3 of a pound. If he continues to gain this much weight each week, how much will he weigh in 8?

Answer 1

Multiply the weight gain per week by the number of weeks, then add it to the staring weight.

2/3 lb x 8 week = 16/3 = 5 1/3 pounds.

Since both fractions have different denominators, convert the weights to improper fractions, then turn them into fractions with a common denominator then simplify:

3 1/2 =7/2

5 1/3 = 16/3

Common denominator is 6:

7/2 * 3 = 21/6

16/3 x 2 = 32/6

Now add:

21/6 + 32/6 = 53/6

No convert back to proper fraction:

53/6 = 8 5/6 pounds.