Question

what does \\(\frac{3}{2} \div \frac{4}{5}\\) represent in this situation?
choose 1 answer:
a lekikas height
b \\(\frac{3}{2}\\) of shanikas height
c shanikas height
d \\(\frac{4}{5}\\) of lekika’s height

Explanation:

Step1: Recall Fraction Division Context

In height - related problems, if we assume a relationship like \( \text{Leikika's height} \times \frac{4}{5}=\text{Shanika's height} \) (or a similar relationship where one height is a fraction of the other), and we know \( \text{Shanika's height}=\frac{3}{2} \), then to find \( \text{Leikika's height} \), we use the formula for division of fractions. If \( a\times b = c \), then \( a=\frac{c}{b} \). So if \( \text{Leikika's height}\times\frac{4}{5}=\text{Shanika's height} \) and \( \text{Shanika's height}=\frac{3}{2} \), then \( \text{Leikika's height}=\frac{3}{2}\div\frac{4}{5} \).

Step2: Analyze Each Option

• Option A: Based on the above reasoning, \( \frac{3}{2}\div\frac{4}{5} \) represents Leikika's height (assuming the correct relationship between their heights).
• Option B: \( \frac{3}{2} \) of Shanika's height would be \( \frac{3}{2}\times\text{Shanika's height} \), not a division, so this is incorrect.
• Option C: If \( \frac{3}{2}\div\frac{4}{5} \) was Shanika's height, the relationship would not hold as per the fraction division context.
• Option D: \( \frac{4}{5} \) of Leikika's height would be \( \text{Leikika's height}\times\frac{4}{5} \), which is the other height (Shanika's height), not the result of \( \frac{3}{2}\div\frac{4}{5} \).

Answer:

A. lekika's height