The Difference Between Fractions and Ratios

What is a fraction?

• A fraction is a letter used in mathematical equations.

• A fraction is a numerical quantity that is not a whole number; it consists of a numerator and a denominator separated by a line.

• A fraction is a type of geometric shape.

• A fraction is a whole number without any decimal points.

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CCSS.3.NF.A.1

CCSS.3.NF.A.2B

What is a ratio?

• A ratio is a quantitative relation between two amounts.

• A ratio is a type of fruit

• A ratio is a type of animal

• A ratio is a unit of measurement

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

How are fractions and ratios similar?

• They both represent a part-to-whole relationship.

• They are only used in geometry.

• They both involve multiplication and division.

• They are always equivalent to whole numbers.

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CCSS.6.RP.A.3A

How are fractions and ratios different?

• Fractions represent parts of a whole, while ratios compare two quantities.

• Fractions have a numerator and a denominator, while ratios have a colon between the numbers.

• Fractions are used in math, while ratios are used in science.

• Fractions are always less than 1, while ratios can be greater than 1.

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CCSS.6.NS.C.7A

CCSS.6.NS.C.7B

Give an example of a fraction.

• 3/4

• 2/3

• 4/5

• 1/2

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CCSS.3.NF.A.1

CCSS.3.NF.A.2B

Give an example of a ratio.

• 2:3

• 7:8

• 3:4

• 5:6

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Explain how fractions are represented.

• Fractions are represented as a ratio of two numbers.

• Fractions are represented as a product of two numbers.

• Fractions are represented as a sum of whole numbers.

• Fractions are represented as a numerator over a denominator, e.g., 1/2.

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CCSS.3.NF.A.1

CCSS.3.NF.A.2B

Explain how ratios are represented.

• Ratios are represented as a comparison of two numbers or quantities using the colon symbol, fraction, or percentage.

• Ratios are represented by adding the two numbers together

• Ratios are represented by dividing the two numbers

• Ratios are represented by multiplying the two numbers together

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

When would you use a fraction instead of a ratio?

• When you want to show a relationship between two numbers.

• When you want to compare two quantities.

• When you want to represent a part of a whole.

• When you want to represent a decimal value.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

When would you use a ratio instead of a fraction?

• When baking a cake

• When comparing two quantities or values in relation to each other.

• When solving a crossword puzzle

• When traveling to a new country

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CCSS.6.RP.A.1

CCSS.6.RP.A.2