Reciprocal
What is the reciprocal of 1/3
3/1
What happens in the first fraction when dividing fractions
Stays the same
How many objects would you draw for this problem:
There are 5 candles and each gets 1/2 cup of wax.
5 candles/objects
1/2 ÷ 1/3
3/2
There are 6 candles and each gets 1/6 cup of wax.
6 ÷ 1/6
What happens to the numerator/denominator when you use the reciprocal
The numerator becomes the denominator and denominator becomes the numerator
What happens to the division sign when you are dividing fractions
It turns in to multiplication
Draw out:
There are 5 candles and each gets 1/2 cup of wax.
1/3 ÷ 1/5
5/3
How many 1/3 s are in 4?
4 ÷ 2/3
What is the reciprocal of 4/5
5/4
What happens when there is a whole number in the equation?
EX: 3 ÷ 1/5
Put a 1 under the 3
How many objects would you draw for this problem:
How many 2’/3 s are in 4?
4
3 ÷ 1/6
18/1
A recipe for a cake calls for 2/4 cups of blueberries per batch. I only have 6 cups of blueberries. How many batches of muffins can she make?
6 ÷ 2/4
6 x 4=24 ÷ 2= 12
1 x 2= 2÷ 2= 1
Explain when you use a reciprocal
You use reciprocal when you divide fractions. It is what happens to the second fraction in an equation
What do you do to the second fraction when dividing fractions?
3/1 ÷ 1/5
Use the reciprocal
DRAW
How many 2’/3 s are in 4?
6
8 ÷ 3/6
48/3 or 16
Kevin read 2/5 of a book. He read 100 pages. How many pages are in the whole book?
100 ÷ 2/5
100 x 5=500 ÷ 2= 250
1 x 2= 2÷ 2= 1
What is the reciprocal of 5
1/5
Explain how multiplication is related to division in division of fractions
You use multiplication in division by multiplying by the reciprocal
EXPLAIN YOUR DIAGRAM:
How many 1 /2 days are there in Monday, Tuesday, and Wednesday?
3 objects cut in half
3 ÷ 2
3/2
Ms. Sundermier is solving a puzzle. I use 2/6 of the pieces in his jigsaw puzzle. I used 50 pieces. How many pieces are in the whole puzzle?
50 ÷ 2/6
50 x 6=300 ÷ 2= 150
1 x 2= 2÷ 2= 1