To determine whose book is heavier and by how much, let's compare the weights of Simi's and Sushma's books. Here's the step-by-step solution:
1. Identify the weights:
- Simi's book weight: [tex]\(\frac{3}{5}\)[/tex] kilograms
- Sushma's book weight: [tex]\(\frac{3}{8}\)[/tex] kilograms
2. Convert the fractions to decimal form for easier comparison:
- [tex]\(\frac{3}{5} = 0.6\)[/tex] kilograms
- [tex]\(\frac{3}{8} = 0.375\)[/tex] kilograms
3. Compare the weights:
- Simi's book is [tex]\(0.6\)[/tex] kilograms.
- Sushma's book is [tex]\(0.375\)[/tex] kilograms.
Since [tex]\(0.6\)[/tex] is greater than [tex]\(0.375\)[/tex], Simi's book is heavier.
4. Calculate the difference in weight between the two books:
- Weight difference = Simi's book weight - Sushma's book weight
- Weight difference = [tex]\(0.6 - 0.375\)[/tex] kilograms
- Weight difference = [tex]\(0.225\)[/tex] kilograms (approximately [tex]\(0.22499999999999998\)[/tex])
Thus, Simi's book is heavier than Sushma's book by approximately 0.225 kilograms.
