Which of the following fractions are equivalent to 9/8

Question

? Select all that apply.

(1 point)
Responses

34

3 4

54

5 4

1816

18 16

1618

16 18

2724

Answer 1

To determine which fractions are equivalent to \( \frac{9}{8} \), we can simplify or calculate each fraction to see if it equals \( \frac{9}{8} \).

1. \( \frac{34}{1} \) – This is equal to 34, not equivalent.
2. \( \frac{3}{4} \) – This is equal to 0.75, not equivalent.
3. \( \frac{54}{1} \) – This is equal to 54, not equivalent.
4. \( \frac{5}{4} \) – This is equivalent to \( \frac{10}{8} \), not equivalent.
5. \( \frac{18}{16} \) – Simplifying this: \( \frac{18 \div 2}{16 \div 2} = \frac{9}{8} \), this is equivalent.
6. \( \frac{16}{18} \) – Simplifying this: \( \frac{16 \div 2}{18 \div 2} = \frac{8}{9} \), not equivalent.
7. \( \frac{27}{24} \) – Simplifying this: \( \frac{27 \div 3}{24 \div 3} = \frac{9}{8} \), this is equivalent.

Thus, the equivalent fractions to \( \frac{9}{8} \) among the given options are:

• \( \frac{18}{16} \)
• \( \frac{27}{24} \)