Equivalent ratio - double number line

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What is an equivalent ratio?

Back

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

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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.

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What is a double number line?

Back

A double number line is a visual representation that shows two sets of numbers along parallel lines, helping to illustrate the relationship between two quantities.

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How can a double number line help in solving ratio problems?

Back

A double number line helps visualize the relationship between two quantities, making it easier to see equivalent ratios and solve problems involving proportions.

Front

If the ratio of boys to girls is 6:2, what is the simplified form of this ratio?

Back

The simplified form of the ratio 6:2 is 3:1.

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What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first term of the ratio is the numerator and the second term is the denominator.

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How do you calculate the total amount earned based on a ratio?

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To calculate the total amount earned based on a ratio, determine how many times the ratio fits into the total quantity, then multiply the corresponding earnings by that number.

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What is the importance of unit rates in solving ratio problems?

Back

Unit rates allow you to compare quantities on a per-unit basis, making it easier to understand and solve ratio problems.

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How do you set up a proportion to solve a ratio problem?

Back

To set up a proportion, write two ratios as fractions and set them equal to each other, then cross-multiply to solve for the unknown.

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What is the formula for finding the total cost based on a unit price?

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The total cost can be found using the formula: Total Cost = Unit Price × Quantity.