DIVIDING FRACTIONS. NS 2.1 Solve problems involving addition, subtraction, multiplication, and division of positive fractions and explain why a particular.

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ADDING AND SUBTRACTING FRACTIONS. NS 2.1 Solve problems involving addition, subtraction, multiplication, and division of positive fractions and explain.

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Presentation transcript:

DIVIDING FRACTIONS

NS 2.1 Solve problems involving addition, subtraction, multiplication, and division of positive fractions and explain why a particular operation was used for a given situation. Today’s objective: learn how to divide fractions, using our previous knowledge of multiplying fractions Learning target: Answer at least 3 of the 4 fraction division problems correctly on the exit ticket.

How many objects to put in each group How many groups there are

How many objects to put in each group How many groups there are How many s did each whole turn into? Since we started with 6 wholes and each turned into two s, the problem turned into

How many s did each whole turn into? Since we started with 6 wholes and each turned into three s, the problem turned into

How many s did each whole turn into? Since we started with 6 wholes and each turned into, the problem turned into

We’ve figured out that to solve we can instead do Also, instead of doing we can instead solve Finally, instead of doing we can solve Is there a pattern for how to turn division problems into multiplication problems?

What is a reciprocal? The reciprocal of a fraction is the number that you would multiply the fraction by to get 1. This is also called the multiplicative inverse.

How do we find the reciprocal? If the number is not already a fraction, convert it into one. Turn the fraction upside-down.

Find the reciprocal of each number:

How do we divide fractions? Leave the first number alone since that is how much we start with. Instead of dividing by the second number, multiply by its reciprocal.

Simplify the answer if possible.

Direct Station We will do word problems that involve dividing fractions, integers, and mixed numbers.

Collaborative Station: Connect Four We will play the game Connect Four in which players take turns picking a space and the first player to form a straight line of 4 spaces wins. However, in order to actually get the space you pick, you have to correctly answer the division problem on that space. Use a whiteboard marker on the sheet protector to keep track of which spaces are yours and which are your partners. Use different colors/letters to tell them apart. Write down your calculations on your paper.

Independent Station We are continuing ST Math’s unit on fraction multiplication. You need to know how to do fraction multiplication to do fraction division, so it is doubly important!