Equivalent Ratios

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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 are different. For example, 1:2 and 2:4 are equivalent ratios.

Tags

CCSS.6.RP.A.3A

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How do you determine if two ratios are equivalent?

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To determine if two ratios are equivalent, you can cross-multiply and see if the products are equal. For example, for the ratios 3:4 and 6:8, cross-multiplying gives 3*8 and 4*6, which are both 24, so they are equivalent.

Tags

CCSS.6.RP.A.3A

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What is the ratio of sugar to fluid ounces in a drink that has 2 grams of sugar in every 8 fluid ounces?

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The ratio of sugar to fluid ounces is 2:8, which simplifies to 1:4.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If Enrique needs 4 eggs to make 1 cake, how many eggs does he need for 7 cakes?

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Enrique needs 28 eggs for 7 cakes (4 eggs x 7 cakes = 28 eggs).

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CCSS.4.OA.A.1

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What is the price of 1 package of markers if 11 packages cost $55?

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The price of 1 package of markers is $5 (55 ÷ 11 = 5).

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CCSS.5.NBT.B.6

CCSS.6.NS.B.2

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Are the ratios 3:4 and 6:12 equivalent?

Back

No, the ratios 3:4 and 6:12 are not equivalent because 6:12 simplifies to 1:2.

Tags

CCSS.6.RP.A.3A

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Which ratio is equivalent to 5:1?

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The ratio 10:2 is equivalent to 5:1.

Tags

CCSS.6.RP.A.3A

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What is a ratio table?

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A ratio table is a table that displays pairs of numbers that form equivalent ratios. It helps in visualizing the relationship between two quantities.

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If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

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The ratio of flour to sugar is 2:3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How can you express the ratio 4:8 in simplest form?

Back

The simplest form of the ratio 4:8 is 1:2.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2