Representing Ratios

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What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another. It can be expressed in different forms such as fractions, decimals, or with a colon (e.g., 3:2).

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How do you write a ratio in simplest form?

Back

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

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What does it mean if a ratio is 5:14?

Back

A ratio of 5:14 means that for every 5 parts of one quantity, there are 14 parts of another quantity. This can also be interpreted as 5 out of a total of 19 parts.

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How can ratios be represented visually?

Back

Ratios can be represented visually using bar models, pie charts, or tables, which help to illustrate the relationship between the quantities.

Front

What is the ratio of triangles to all shapes if there are 5 triangles and 14 shapes in total?

Back

The ratio of triangles to all shapes is 5:14.

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If there are 11 basketballs and 2 soccer balls, what is the ratio of basketballs to soccer balls?

Back

The ratio of basketballs to soccer balls is 11:2.

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How do you find the total number of parts in a ratio?

Back

To find the total number of parts in a ratio, add the quantities in the ratio together. For example, in the ratio 5:14, the total is 5 + 14 = 19.

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What is the inverse of a ratio?

Back

The inverse of a ratio is obtained by swapping the two quantities. For example, the inverse of the ratio 3:4 is 4:3.

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How do you compare two ratios?

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To compare two ratios, you can cross-multiply or convert them to fractions and find a common denominator. If the cross products are equal, the ratios are equivalent.

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What is a part-to-part ratio?

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A part-to-part ratio compares two different 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.