College

Brady White weighed [tex]$195 \frac{1}{2}$[/tex] pounds when he decided to join a gym to lose some weight. At the end of the first month, he weighed [tex]$192 \frac{1}{8}$[/tex] pounds.

(Enter your answers as simplified mixed numbers.)

(a) How much (in pounds) did he lose that month?

[tex]\square[/tex] pounds

Answer :

To find out how much weight Brady White lost in the first month, we need to subtract his final weight from his initial weight. Let's go through the process step by step:

1. Understand the initial and final weights:
- Initial weight: [tex]\( 195 \frac{1}{2} \)[/tex] pounds
- Final weight: [tex]\( 192 \frac{1}{8} \)[/tex] pounds

2. Convert mixed numbers to improper fractions:
- For the initial weight, [tex]\( 195 \frac{1}{2} \)[/tex]:
- Convert [tex]\( \frac{1}{2} \)[/tex] to a decimal: [tex]\( 0.5 \)[/tex]
- Add it to 195: [tex]\( 195 + 0.5 = 195.5 \)[/tex]
- For the final weight, [tex]\( 192 \frac{1}{8} \)[/tex]:
- Convert [tex]\( \frac{1}{8} \)[/tex] to a decimal: [tex]\( 0.125 \)[/tex]
- Add it to 192: [tex]\( 192 + 0.125 = 192.125 \)[/tex]

3. Subtract the final weight from the initial weight to find the weight loss:
[tex]\[
195.5 - 192.125 = 3.375
\][/tex]

4. Convert the weight loss back to a mixed number:
- The weight loss, 3.375, can be expressed as a mixed number:
- The whole number part is 3.
- The fractional part, 0.375, is equivalent to [tex]\( \frac{3}{8} \)[/tex].
- So, 3.375 pounds is the same as [tex]\( 3 \frac{3}{8} \)[/tex] pounds.

Brady lost [tex]\( 3 \frac{3}{8} \)[/tex] pounds in the first month.

Other Questions