Question

Which of the following rational numbers are equivalent to $\frac{9}{4}$?

• A. $\frac{12}{3}$
• B. $\frac{81}{25}$
• C. $\frac{36}{16}$
• D. $\frac{63}{28}$

Answer 1

Answer: (C), (D)

$\frac{63}{28}$

When we multiply and divide a rational number by the same number, the value of rational number remains unchanged. Therefore,

$\frac{9}{4}\times \frac{7}{7}=\frac{63}{28}\frac{9}{4}\times \frac{4}{4}=\frac{36}{16}$