Equivalent Ratios

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What is an equivalent ratio?

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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 can 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. For example, multiplying both terms of the ratio 2:3 by 2 gives you 4:6.

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What is the ratio format 'a to b'?

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'a to b' is a way to express a ratio where 'a' and 'b' are two quantities being compared. It can also be written as a:b.

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What is the ratio format 'a:b'?

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'a:b' is a mathematical notation used to express the relationship between two quantities, where 'a' is the first quantity and 'b' is the second.

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What is the relationship between fractions and ratios?

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Fractions can be considered as a type of ratio, where the numerator represents the part and the denominator represents the whole. For example, the fraction 1/2 can be expressed as the ratio 1:2.

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How do you convert a fraction to a ratio?

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To convert a fraction to a ratio, you can express the numerator and denominator as a ratio. For example, the fraction 3/4 can be expressed as the ratio 3:4.

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What is the simplest form of a ratio?

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The simplest form of a ratio is when the two quantities are expressed in their lowest terms, meaning they have no common factors other than 1. For example, the ratio 4:8 can be simplified to 1:2.

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What is the significance of equivalent ratios in real-life applications?

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Equivalent ratios are important in real-life applications such as cooking, scaling recipes, and converting measurements, as they help maintain the same proportions.

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How can you express the ratio 5:15 in simplest form?

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The ratio 5:15 can be simplified by dividing both terms by their greatest common divisor, which is 5, resulting in the simplest form of 1:3.

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What is a ratio table?

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A ratio table is a tool used to organize equivalent ratios in a tabular format, making it easier to see the relationships between different ratios.