To determine which of the statements is true, we can simplify each fraction and compare them.
a) \( \frac{6}{16} = \frac{4}{14} \)
- Simplifying \( \frac{6}{16} \) gives \( \frac{3}{8} \).
- Simplifying \( \frac{4}{14} \) gives \( \frac{2}{7} \).
- \( \frac{3}{8} \neq \frac{2}{7} \)
b) \( \frac{30}{40} = \frac{24}{36} \)
- Simplifying \( \frac{30}{40} \) gives \( \frac{3}{4} \).
- Simplifying \( \frac{24}{36} \) gives \( \frac{2}{3} \).
- \( \frac{3}{4} \neq \frac{2}{3} \)
c) \( \frac{10}{15} = \frac{45}{50} \)
- Simplifying \( \frac{10}{15} \) gives \( \frac{2}{3} \).
- Simplifying \( \frac{45}{50} \) gives \( \frac{9}{10} \).
- \( \frac{2}{3} \neq \frac{9}{10} \)
d) \( \frac{16}{28} = \frac{12}{21} \)
- Simplifying \( \frac{16}{28} \) gives \( \frac{4}{7} \).
- Simplifying \( \frac{12}{21} \) gives \( \frac{4}{7} \).
- \( \frac{4}{7} = \frac{4}{7} \)
Therefore, the true statement is:
d) \( \frac{16}{28} = \frac{12}{21} \)