Dividing Fractions.

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Presentation transcript:

Dividing Fractions

There are 3 pizzas. Each child will get 1/4 of a pizza There are 3 pizzas. Each child will get 1/4 of a pizza. How many children will get pizza? What is being divided?______________ Write a division sentence beginning with the number being divided.

What is being divided? 3 pizzas There are 3 pizzas. Each child will get 1/4 of a pizza. How many children will get pizza? What is being divided? 3 pizzas Write a division sentence beginning with the number being divided. 3 ÷ 1/4 Whatever is being divided goes first – It is the dividend.

What is being divided? 3 pizzas There are 3 pizzas. Each child will get 1/4 of a pizza. How many children will get pizza? What is being divided? 3 pizzas Write a division sentence beginning with the number being divided. 3 ÷ ¼ = 12 Use an illustration to represent the solution. 3 wholes divided into fourths 3 1 2 There are twelve ¼ pieces, so 12 children will get pizza

2) Mrs. Smith had ½ of a pumpkin pie left over 2) Mrs. Smith had ½ of a pumpkin pie left over. She split the leftover pie evenly between her 3 children. What fraction of a pie did each child get? What is being divided?______________ Write a division number sentence to show your answer.  Use an illustration to represent the solution. 

What is being divided? 1/2 pumpkin pie 2) Mrs. Smith had ½ of a pumpkin pie left over. She split the leftover pie evenly between her 3 children. What fraction of a pie did each child get? What is being divided? 1/2 pumpkin pie Write a division number sentence to show your answer.  ½ ÷ 3 = 1/6 Use an illustration to represent the solution. 

Another illustration to represent the solution. 2) Mrs. Smith had ½ of a pumpkin pie left over. She split the leftover pie evenly between her 3 children. What fraction of a pie did each child get? ½ ÷ 3 = 1/6   Another illustration to represent the solution. 6 total parts ½ divided into 3 parts 1 1/2 1/6 1/6 1/6

Six people share ¾ kg of chocolate equally Six people share ¾ kg of chocolate equally. How much chocolate does each person get? What is being divided?______________ Write a division number sentence to show your answer.  Use an illustration to represent the solution. 

What is being divided? 3/4 kg chocolate Six people share ¾ kg of chocolate equally. How much of a chocolate bar does each person get? What is being divided? 3/4 kg chocolate Write a division number sentence to show your answer.  3/4 ÷ 6 = 1/8 Use an illustration to represent the solution. Answer: 1/8 of the bar Whatever is being divided goes first – It is the dividend. ¾ of the chocolate bar is shaded, since that is the amount being divided The chocolate bar is then divided into 6 sections. Each person gets 3 of the 24 pieces of the bar = 3/24 = 1/8 Ask yourself: Does this answer make sense?

Another illustration to represent the solution. Six people share ¾ kg of chocolate equally. How much of a chocolate bar does each person get? 3/4 ÷ 6 = 1/8 Another illustration to represent the solution. 8 total parts ¾ divided into 6 parts 1/4 2/4 3/4 1 1/8 1/8 1/8 1/8 1/8 1/8

If a tortoise is timed traveling an average of 1/3 miles per hour, how long would it take the tortoise to travel 6 miles? What is being divided?______________ Write a division number sentence to show your answer.  Use an illustration to represent the solution. 

What is being divided? 6 hours If a tortoise is timed traveling an average of 1/3 miles per hour, how long would it take the tortoise to travel 6 miles? What is being divided? 6 hours Write a division number sentence to show your answer.  6 ÷ 1/3 = 18 Use an illustration to represent the solution.  Answer: 18 hours_ Whatever is being divided goes first – It is the dividend. 13 14 15 16 17 18 1 2 3 4 5 7 9 10 11 12 6 8 Ask yourself: Does this answer make sense?

Each mile divided into thirds If a tortoise is timed traveling an average of 1/3 miles per hour, how long would it take the tortoise to travel 6 miles?  6 ÷ 1/3 = 18 Another illustration to represent the solution.  6 miles Each mile divided into thirds 2 3 4 5 6 1 18 total