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6.1 Dividing Fractions by whole numbers

6.1 Dividing Fractions by whole numbers . Grade 8 by Rhonda Friesen. What we already know about division…. 6÷ 2= We know that division is splitting up a number into equal size groups. How many groups of 2 are in 6?. Vocabulary for division . 6÷ 2= 6 is the dividend ( Total number)

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6.1 Dividing Fractions by whole numbers

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  1. 6.1 Dividing Fractions by whole numbers Grade 8 by Rhonda Friesen

  2. What we already know about division… • 6÷ 2= • We know that division is splitting up a number into equal size groups. • How many groups of 2 are in 6?

  3. Vocabulary for division • 6÷ 2= • 6 is the dividend (Total number) • 2 is the divisor (number of apples in each group) • 3 is the quotient (number of groups)

  4. 6÷ ½ = ? • I have six apples. I am going to share my apples with some friends. If I give each friend ½ an apple, how many friends can I give apples?

  5. I have 5 pizzas. I am going to share my pizzas with some friends. If I give each friend 1/3 of the pizza, how many friends will get pizza?

  6. Using a bar model • We have 6 cupcakes. We decide to put them equally into 3 boxes. How many cupcakes will be in each box? • 6÷ 3= • Cupcakes 6 is 3 groups of what number ?

  7. If ½ a box of cupcakes can hold 6 cupcakes, how many cupcakes can the box hold? • 6÷ ½ = ? • 6 is ½ of what number? • Cupcakes

  8. If 1/3 of a gas tank holds 5 liters of gas, how many liters does the gas tank hold? • 5 is 1/3 of what number? • What is the equation?

  9. Keith was preparing the course for a 3 mile bicycle race. He set up water stations every ¾ mile for the bicycle riders in the race. How many water stations did he set up? • What is the equation ? • ___________________

  10. Sabrina has 6 pizzas at her birthday party. If each person can eat 2/3 of a pizza, how many people can she serve? • What is the equation? • ___________________

  11. Dividing whole numbers and fractions without models… • You know that.. • 2÷ ¼ = how many groups of ¼ are in 2. • 2÷ ¼ has the same answer as

  12. When we are dividing by a fraction, we can get the same answer by multiplying by the flip of the fraction. • 3÷ 1/5 =

  13. Reciprocal • The flip of a fraction is called the reciprocal • The reciprocal of ½ is ________ • The reciprocal of 1/3 is ______ • The reciprocal of 1/6 is ______ • The reciprocal of 2/3 is _______ • The reciprocal of ¾ is ________ • The reciprocal of 7/9 is _______

  14. Aliyah has 6 sticks of butter. She needs 1/3 of a butter stick to make a dozen cookies. How many dozens of cookies can she make? • How many groups of 1/3 are in 6? • There are ____ groups of 1/3 are in 6. • What is your equation? _________________ • SOLVE: • Sentence: _____________________________

  15. What happens if the whole number is not at the beginning of the equation?

  16. Three students shared 2/3 of a cake equally. What fraction of the cake did each student receive? • What is the equation? _______________ • 2/3 is 3 groups of what number ? • My answer will be _____________than 2/3.

  17. Kiah divided ¾ pounds of grapes equally with 2 children she was babysitting. What fraction of the grapes did each child receive? • Equation: _________________ • ¾ is 2 groups of what number?

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