Question

find 3 ratios that are equivalent to the given ratio.
8.13
find 3 ratios that are equivalent to the given ratio.
a. 16:26 b. 32:52
c. 16:39 d. 24:52
e. 16:52 f. 24:39
g. 24:26 h. 32:26

Explanation:

First, we need to know the original ratio. Wait, the problem says "Find 3 ratios that are equivalent to the given ratio" but the given ratio isn't clearly stated. Wait, maybe the original ratio is 8:13? Wait, looking at the options, let's check each ratio by simplifying them.

Let's assume the original ratio is 8:13 (since 8.13 is written, maybe 8/13). Let's simplify each option:

Step 1: Simplify Option A (16:26)

Simplify $\frac{16}{26}$ by dividing numerator and denominator by 2: $\frac{16\div2}{26\div2}=\frac{8}{13}$. So 16:26 is equivalent to 8:13.

Step 2: Simplify Option B (32:52)

Simplify $\frac{32}{52}$ by dividing numerator and denominator by 4: $\frac{32\div4}{52\div4}=\frac{8}{13}$. So 32:52 is equivalent to 8:13.

Step 3: Simplify Option D (24:52)

Wait, no, 24:52: $\frac{24}{52}$ divide by 4: $\frac{6}{13}$? No, wait, maybe original ratio is 8:13. Wait, let's check Option C (16:39): $\frac{16}{39}$ can't be simplified to 8:13. Option E (16:52): $\frac{16}{52}=\frac{4}{13}$, no. Option F (24:39): $\frac{24}{39}=\frac{8}{13}$ (divide by 3: 24÷3=8, 39÷3=13). Option G (24:26): $\frac{24}{26}=\frac{12}{13}$, no. Option H (32:26): $\frac{32}{26}=\frac{16}{13}$, no. Wait, maybe the original ratio is 8:13. Let's recheck:

• A: 16:26 = 8:13 (divide by 2)
• B: 32:52 = 8:13 (divide by 4)
• F: 24:39 = 8:13 (divide by 3)

Wait, maybe the original ratio is 8:13. Let's confirm:

For A: 16/26 = 8/13 (yes, 16÷2=8, 26÷2=13)

For B: 32/52 = 8/13 (32÷4=8, 52÷4=13)

For F: 24/39 = 8/13 (24÷3=8, 39÷3=13)

So these three ratios (A, B, F) are equivalent to 8:13.

Answer:

A. 16:26, B. 32:52, F. 24:39