Choose all of the ratios that are proportional. 48/64 ​ = 3/4, ​ 195/26 ​ = 30/4, ​ 176/8 ​ = 308/1, ​ 5/8 ​ = 12/20.

Answer 1

To determine which of the given ratios are proportional, we need to simplify each ratio and check if they are equivalent.

1. 48/64: $$\frac{48}{64}=\frac{48÷16}{64÷16}=\frac{3}{4}$$

2. 195/26: $$\frac{195}{26}=\frac{195÷13}{26÷13}=\frac{15}{2}\text{(not equal to }\frac{30}{4}=\frac{15}{2}\text{, but we will check further)}$$

3. 176/8: $$\frac{176}{8}=\frac{176÷8}{8÷8}=\frac{22}{1}\text{(not equal to }\frac{308}{1}\text{)}$$

4. 5/8: $$\frac{5}{8}\text{and}\frac{12}{20}=\frac{12÷4}{20÷4}=\frac{3}{5}\text{(not equal to }\frac{5}{8}\text{)}$$

Now, we will summarize the results:

• $\frac{48}{64}=\frac{3}{4}$
• $\frac{195}{26}=\frac{15}{2}$ (equal to $\frac{30}{4}=\frac{15}{2}$)
• $\frac{176}{8}=\frac{22}{1}$ (not equal to $\frac{308}{1}$)
• $\frac{5}{8}$ is not equal to $\frac{12}{20}$ (which simplifies to $\frac{3}{5}$)

The proportional ratios among the choices are:

• $48/64=3/4$
• $195/26=30/4$

Thus, the proportional ratios are:

• $\frac{48}{64}=\frac{3}{4}$
• $\frac{195}{26}=\frac{30}{4}$

Final selection of ratios that are proportional: 48/64 = 3/4 and 195/26 = 30/4.