How Do You Find Equivalent Ratios?

Two numbers with a colon between them is one way of writing a ratio
Another way of writing a ratio is as a fraction
The first number of the ratio goes in the numerator of the fraction
The second number of the ratio goes in the denominator of the fraction
To find an equivalent fraction, multiply the fraction by any number over itself
Any number over itself is just 1
The numerator and denominator have a common factor of 5, so divide by 5/5 to get an equivalent fraction

1. We can multiply both parts of the ratio by the same number to find an equivalent ratio
1. Remember, one of the ways write a ratio is as a fraction
2. The first number, 5, goes in the numerator, and the second number, 20, goes in the denominator
3. Now we can just find an equivalent fraction that will give us an equivalent ratio
1. Remember, to find an equivalent fraction, just multiply the fraction by any number over itself
2. Since any number over itself is just 1, we're not changing the value of the fraction
3. Here we'll multiply by 2/2, which is the same as multiplying by 1
1. The numerator, 10, becomes the first number in the ratio
2. The denominator, 40, becomes the second number in the ratio
3. 5:20 and 10:40 are equivalent ratios because they have the same value when you reduce them
1. We can also divide both parts of the ratio by the same number to find an equivalent ratio
1. We converted 5:20 into the fraction 5/20 before when we multiplied, so we'll use that same fraction again
1. 5 and 20 have a common factor of 5
2. So we can divide both the top and bottom by 5 to get an equivalent fraction
1. 5:20 and 1:4 are equivalent ratios because they have the same value when you reduce them

Given the ratio 5:20, find two equivalent ratios