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Multiplying Fractions by Whole Numbers shows up in your daily life all the time, but perhaps you just don't know it yet. Multiplying Fractions and Whole Numbers together is often termed finding the fractional part of a whole number. We teach you why in this song. Enjoy the Multiplying Fractions by Whole Numbers video!
Common Core State Standards ( CCSS )
Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
A. Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).
B. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.)
C. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?
Note: Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
TEKS Supporting Standards
Supporting Standard 5.3I
... represent and solve multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area models.
* UK Age Range:
| Year 5 - Year 6 - Year 7 |
KS2 and KS3 Maths