Dividing by a fraction is really multiplying by its reciprocal!
CCSS.MATH.CONTENT.7.NS.A.2CApply properties of operations as strategies to multiply and divide rational numbers.
CCSS.MATH.CONTENT.7.NS.A.3Solve real-world and mathematical problems involving the four operations with rational numbers.
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CCSS.MATH.CONTENT.5.NF.B.3Interpret a fraction as division of the numerator by the denominator (
a/
b =
a ÷
b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem.
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 3/4. 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?
CCSS.MATH.CONTENT.5.NF.B.7Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.
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CCSS.MATH.CONTENT.5.NF.B.7AInterpret division of a unit fraction by a non-zero whole number, and compute such quotients.
For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) × 4 = 1/3.
CCSS.MATH.CONTENT.5.NF.B.7BInterpret division of a whole number by a unit fraction, and compute such quotients.
For example, create a story context for 4 ÷ (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 × (1/5) = 4.
CCSS.MATH.CONTENT.5.NF.B.7CSolve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem.
For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins?
LTI launch URL
(help)
https://schoolyourself.org/page/lti/sy/algebra/dividing-fractions