Questions: 21. Write an equivalent ratio to... 5: 2 Write the new ratio in all 3 forms. 22. Write an equivalent ratio to... 4 to 12 Write the new ratio in all 3 forms.

Solution Steps

An equivalent ratio is a ratio that expresses the same relationship between numbers as the original ratio, but with different numbers. To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number.

To find an equivalent ratio for 5:2, we can multiply both terms by the same number. Let's choose 3 as the multiplier:

\[ 5 \times 3 = 15, \quad 2 \times 3 = 6 \]

So, an equivalent ratio to 5:2 is 15:6.

The three forms of writing a ratio are:

1. As a fraction: \(\frac{15}{6}\)
2. With a colon: \(15:6\)
3. In words: 15 to 6

Similarly, to find an equivalent ratio for 4 to 12, we can multiply both terms by the same number. Let's choose 2 as the multiplier:

\[ 4 \times 2 = 8, \quad 12 \times 2 = 24 \]

So, an equivalent ratio to 4 to 12 is 8 to 24.

The three forms of writing a ratio are:

1. As a fraction: \(\frac{8}{24}\)
2. With a colon: \(8:24\)
3. In words: 8 to 24

Final Answer