Question

The fraction $\frac{9}{4}$ can be written as

• A. $\frac{\frac{9}{2}}{\frac{4}{2}}$
• B. $\frac{\frac{9}{4}}{1}$
• C. $\frac{\frac{9}{5}}{\frac{4}{5}}$
• D. $\frac{\frac{7}{6}}{\frac{9}{4}}$

Answer 1

Answer: (A), (B), (C)

The correct options are
A $\frac{\frac{9}{2}}{\frac{4}{2}}$
B $\frac{\frac{9}{4}}{1}$
C $\frac{\frac{9}{5}}{\frac{4}{5}}$

$\frac{\frac{9}{2}}{\frac{4}{2}}=\frac{9}{2}÷\frac{4}{2}=\frac{9}{2}\times \frac{2}{4}=\frac{9}{4}$

$\frac{\frac{9}{4}}{1}=\frac{9}{4}÷1=\frac{9}{2}\times 1=\frac{9}{4}$

$\frac{\frac{9}{5}}{\frac{4}{5}}=\frac{9}{5}÷\frac{4}{5}=\frac{9}{5}\times \frac{4}{5}=\frac{9}{4}$

So, options $A,B$ and $C$ are correct.