Question

Three​-fifths of the​ T-shirts in a​ T-shirt shop are blue. Five​-eighths of those​ T-shirts are on sale. ​One-third of the blue​ T-shirts that are on sale are size medium. What fraction of the​ shop's T-shirts are blue​ T-shirts that are on sale and are size​ medium? Explain

Answer 1

To find the fraction of the shop's T-shirts that are blue, on sale, and size medium, you multiply the fractions (3/5) * (5/8) * (1/3), which simplifies to 1/8. Therefore, one eighth of the shop's T-shirts meet all three conditions.

Step-by-step explanation:

To solve this problem, we need to multiply the fractions that represent each condition to find the fraction of the T-shirts that are blue, on sale, and size medium. Here's how to calculate it:

1. First, we know that three-fifths of the T-shirts are blue.
2. Then, five-eighths of these blue T-shirts are on sale.
3. Finally, one-third of the blue T-shirts on sale are size medium.

To find the fraction of the shop's T-shirts that are blue, on sale, and size medium, we multiply these three fractions together:

(3/5) × (5/8) × (1/3) = (3×5×1) / (5×8×3) = 15 / 120, which simplifies to 1/8. Therefore, one eighth of the shop's T-shirts are blue, on sale, and size medium.

Thus, understanding the concept of multiplying fractions is essential for solving problems like this one, and knowing how to simplify the result is just as important.