Question

Levi says 5/30 is equivalent to what ratio? Check his work by completing the table of equivalent ratios.

A) 1/6
B) 2/12
C) 3/18
D) 4/24

Answer 1

The ratio 5/30 simplifies to 1/6, making option A) 1/6 the equivalent ratio. Options B), C), and D) also simplify to 1/6 but are not in their simplest form.

Step-by-step explanation:

Levi claims that 5/30 is equivalent to a certain ratio. To verify this, we can simplify 5/30 by dividing both the numerator and the denominator by the greatest common factor, which is 5. This simplification process yields 1/6, as 5 divided by 5 equals 1, and 30 divided by 5 equals 6.

Comparing the simplified fraction to the options provided:

• A) 1/6 is the simplified form of 5/30, so this is the equivalent ratio.
• B) 2/12 can be simplified to 1/6, which is also equivalent to 5/30.
• C) 3/18 simplifies to 1/6.
• D) 4/24 simplifies to 1/6.

All options after simplification result in the equivalent ratio of 1/6. However, since the question seems to imply a single equivalent ratio, option A) 1/6 would be the matching answer because it is the ratio in its simplest form and directly shows the equivalence to 5/30 without additional simplification.