Dividing Fractions Whole Numbers by Fractions Please start working on your next day.

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Presentation transcript:

Dividing Fractions Whole Numbers by Fractions Please start working on your next day.

What is a reciprocal? Any two numbers with a product of 1 ◦½ x 2 = 1  Therefore, ½ and 2 are reciprocals  2 x = 1 3

What is the relationship between numerator and denominator of a number in the reciprocal?

Another term for reciprocal is multiplicative inverse Explain why this makes sense.

Reciprocal How are you going to remember what this is? Pilots can fly in an inverted position, or upside down. How can you use the everyday meaning of invert to help you remember the mathematical meaning of multiplicative inverse, or reciprocal?

Find Reciprocals 3 ÷ ½ = 63 x 2 = 6 Dividing 3 by ½ gives the same result as multiplying 3 by 2, which is the reciprocal of ½. Any two numbers with a product of 1 are called reciprocals.

Find the reciprocal

What is the reciprocal of a whole number? 8?18?

Brain Break - - -> Reflect on these words Can you relate to any of these statements?

ON your OWN

What are the three steps to dividing fractions? KEEP IT CHANGE IT FLIP IT

Practice on your own Don’t forget to Keep it – Change it – Flip it

Find partner 2

ON YOUR OWN

Answer on your own and check with partner #10 A neighborhood development that is 4 acres is to be divided into 2/3-acre lots. How many lots can be created?

Rate how you feel about dividing fractions Write your rating on the top right corner of your paper! 1 – I get it, I love it 2 – ehhhhh, I almost have it, but need more practice 3 – I ‘ m l o s t !

Write the three steps of dividing fractions in the top left corner of your paper!

Think think think! WHY DOES A WHOLE NUMBER DIVIDED BY A FRACTION LESS THAN ONE HAVE A QUOTIENT GREATER THAN THE WHOLE NUMBER DIVIDEND?