5.NF.3 A Fraction as the Numerator Divided by the Denominator(a/b = a ÷ b)
5.NF.3 Solve Fraction Division Problems Using Visual Models & Equations |
For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size .
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Example: If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?
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5.NF.4 Multiply a fraction or whole number by
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a. Interpret the product of (a/b) x q as a parts of a partition of q into equal parts; equivalently, as the result of a sequence of operations a x q / b . For example, use a visual fraction model to show (2/3) x 4 = 8/3, and create a story context for this equation. Do the same with (2/3) x (4/5) = 8/15. (In general, (a/b) x (c/b) = ac/bd.)
Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.
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5.NF.5 Interpret Multiplication as Scaling (Resizing)5.NF.6 Solve real-world problems involving multiplication of fractions and mixed numbers5.NF.7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. |