Multiplying Whole Numbers and Fractions

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What is multiplication?

Back

Multiplication is a mathematical operation that represents the repeated addition of a number. For example, 3 x 4 means adding 3 four times: 3 + 3 + 3 + 3 = 12.

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CCSS.3.OA.A.1

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What does it mean to multiply a whole number by a fraction?

Back

Multiplying a whole number by a fraction means taking that whole number and dividing it into equal parts as specified by the fraction. For example, 2 x 1/2 means taking 2 and finding half of it, which is 1.

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CCSS.5.NF.B.4A

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What is a visual model for multiplication?

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A visual model for multiplication can include arrays, area models, or number lines that help illustrate how numbers are multiplied.

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CCSS.4.NBT.B.5

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How do you represent 2 x 2/6 visually?

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You can represent 2 x 2/6 using an area model where you show 2 groups of 2/6, or by drawing 2 rectangles each divided into 6 equal parts and shading 2 parts.

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Front

What is repeated addition?

Back

Repeated addition is a way to express multiplication by adding the same number multiple times. For example, 3 x 4 can be expressed as 4 + 4 + 4.

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CCSS.3.OA.A.1

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How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common factor (GCF). For example, to simplify 4/8, divide both by 4 to get 1/2.

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What is the product of a whole number and a fraction?

Back

The product of a whole number and a fraction is found by multiplying the whole number by the numerator of the fraction and then dividing by the denominator. For example, 3 x 1/4 = 3/4.

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CCSS.4.NF.B.4A

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How do you calculate the total amount needed when making multiple batches of a recipe?

Back

To calculate the total amount needed, multiply the amount of each batch by the number of batches. For example, if each batch requires 2/4 cup of sugar and you make 8 batches, you calculate 2/4 x 8.

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CCSS.4.NF.B.4C

CCSS.4.NF.B.4B

Front

What is the equivalent fraction for 16/4?

Back

The equivalent fraction for 16/4 is 4, since 16 divided by 4 equals 4.

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CCSS.4.NF.A.1

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How do you find the total weight of ingredients needed for multiple items?

Back

To find the total weight, multiply the weight of one item by the total number of items. For example, if each taco requires 1/5 pound of beef and you make 24 tacos, calculate 1/5 x 24.

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CCSS.4.NF.B.4C

CCSS.4.NF.B.4B