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.

Tags

CCSS.6.RP.A.3A

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How do you find an equivalent ratio?

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To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number.

Tags

CCSS.6.RP.A.3A

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What is a double number line?

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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?

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

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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.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the relationship between ratios and fractions?

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

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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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?

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

Tags

CCSS.7.RP.A.1

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

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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.

Tags

CCSS.7.RP.A.3

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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.

Tags

CCSS.6.RP.A.3B