Felice went on a diet. At the beginning of the diet, she weighed 131 3⁄4 pounds. Two months later, she weighed 115 5⁄8 pounds. During the following month, she lost another 5 2⁄3 pounds. How much weight did Felice lose in all?

Felice lost 21 19/24 pounds in all.

Step-by-step explanation:

Weight at the begining: W0=131 3/4 pounds

Weight two months later: W1=115 5/8 pounds

Felice lost in the first two months: L1=W0-W1

L1 = (131 3/4 pounds) - (115 5/8 pounds)

L1 = (131-115) (3/4-5/8) pounds

L1=16 (3/4) * (2/2) - 5/8 pounds

L1=16 (3*2) / (4*2) - 5/8 pounds

L1=16 6/8-5/8 pounds

L1=16 (6-5) / 8 pounds

L1=16 1/8 pounds

During the following month she lost another 5 2/3 pounds:

L2=5 2/3 pounds

How much did Felice lose in all?

LT=?

LT=L1+L2

Replacing the known values:

LT=16 1/8 pounds + 5 2/3 pounds

LT = (16+5) (1/8+2/3) pounds

LT=21 (1/8) * (3/3) + (2/3) * (8/8) pounds

LT = 21 (1*3) / (8*3) + (2*8) / (3*8) pounds

LT=21 3/24+16/24 pounds

LT=21 (3+16) / 24 pounds

LT=21 19/24 pounds

Felice lost 21 19/24 pounds in all.