Equivalent Ratios

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, the ratios 1:2 and 2:4 are equivalent.

Front

How do you find an equivalent ratio?

Back

To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number. For example, to find an equivalent ratio for 3:4, multiply both terms by 2 to get 6:8.

Front

If there are 10 girls for every 12 boys, what is the ratio of girls to boys?

Back

The ratio of girls to boys is 10:12, which can be simplified to 5:6.

Front

What is the ratio of birds to total animals if there are 4 birds and 6 snakes?

Back

The ratio of birds to total animals is 4:10, which simplifies to 2:5.

Front

How do you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms by their greatest common divisor (GCD). For example, the ratio 8:12 can be simplified to 2:3 by dividing both terms by 4.

Front

What is the relationship between ratios and fractions?

Back

Front

If the ratio of red dots to green dots is 6:3, what is the equivalent ratio?

Back

The equivalent ratio is 2:1, obtained by simplifying 6:3.

Front

What is the ratio of green dots to orange dots if there are 3 green dots and 5 orange dots?

Back

The ratio of green dots to orange dots is 3:5.

Front

How can you check if two ratios are equivalent?

Back

To check if two ratios are equivalent, cross-multiply and see if the products are equal. For example, for ratios a:b and c:d, check if a*d = b*c.

Front

What is a part-to-part ratio?

Back

A part-to-part ratio compares two parts of a whole. For example, in a class of 10 boys and 15 girls, the part-to-part ratio of boys to girls is 10:15.