Select all ratios equivalent to 1:12.

Steps to Solve

1. Identify the target ratio The target ratio is given as 1:12. This means for every 1 part of the first quantity, there are 12 parts of the second quantity.

2. Convert the target ratio to a fraction Express the target ratio as a fraction: $$ \frac{1}{12} $$

3. Check each option against the target ratio

   • For each given ratio, convert it to a fraction and compare it with $\frac{1}{12}$.

4. Calculate for each option:

   • 7:9:
     • Convert to fraction: $$ \frac{7}{9} $$
   • 5:60:
     • Convert to fraction: $$ \frac{5}{60} $$
     • Simplify: $$ \frac{5 \div 5}{60 \div 5} = \frac{1}{12} $$
   • 28:16:
     • Convert to fraction: $$ \frac{28}{16} $$
     • Simplify: $$ \frac{28 \div 4}{16 \div 4} = \frac{7}{4} $$
   • 2:3:
     • Convert to fraction: $$ \frac{2}{3} $$

5. Compare fractions Next, determine which of these fractions are equivalent to $\frac{1}{12}$:

   • Compare $\frac{7}{9}$, $\frac{5}{60}$, $\frac{28}{16}$, and $\frac{2}{3}$ to $\frac{1}{12}$.

6. Identify equivalent ratios Only $\frac{5}{60}$ is equivalent to $\frac{1}{12}$.