Answer :
Brady White lost 5 1/8 pounds in his first month at the gym, as determined by subtracting his end-of-month weight (192 3/8 pounds) from his starting weight (197 1/2 pounds) and converting these values into improper fractions for accurate calculation.
To calculate how much weight Brady White lost in pounds after joining the gym, we subtract his weight at the end of the first month from his starting weight. Initially, he weighed 197 1/2 pounds and after one month he weighed 192 3/8 pounds.
To perform the subtraction, we need to convert the mixed numbers into improper fractions:
- 197 1/2 becomes (197 imes 2) + 1 / 2 = 394/2 + 1/2 = 395/2
- 192 3/8 becomes (192 imes 8) + 3 / 8 = 1536/8 + 3/8 = 1539/8
We can now subtract the two fractions by finding a common denominator:
395/2 = 1580/8 (after multiplying the numerator and denominator by 4)
Weight lost = 1580/8 - 1539/8 = 41/8 = 5 1/8 pounds
So, Brady White lost 5 1/8 pounds in his first month at the gym.