Download Absolute Value

Definition:
Reciprocal – Is the inverse of a number. For example, the
reciprocal of 2 is 3 and the reciprocal of 2 is 1.
3
2
2
The product of a number and its reciprocal is 1 (this property is
called the multiplicative inverse). Zero is the only number
without a reciprocal.
Identify each numbers reciprocal.
3
1.)
2.) 5
5
2
3.) 3
3
Multiply each number below by its reciprocal.
1
3
4.)
5.) 3
6.) 1
4
8
Dividing Fractions by Fractions
Example 1: Divide the following fractions.
3 1

4 2
3 1 3 2
  
4 2 4 1
3 2÷ 2 3 1
  
4÷ 21 2 1
3 1 3
1
  1
2 1 2
2
1
1
2
Original problem
Rewrite as multiplication
using the reciprocal of
the divisor.
Cross reduce
Multiply the numerators
and denominators and
rewrite as a mixed number.
Final answer
Solve the following problems. Write your answers as mixed
numbers in simplest form(if necessary).
1 3
1.) 
4 8
2.)
5 1

6 3
Dividing Whole Numbers by Fractions
Example 2: Divide the following whole
number by the fraction.
2
7
3
7 2

1 3
7 3

1 2
7 3 21
1
 
 10
1 2 2
2
1
10
2
Original problem
Put the whole number
(7) over 1.
Rewrite as multiplication
using the reciprocal of
the divisor.
Multiply the numerators
and denominators and
write as a mixed number.
Final answer
Solve the following problems. Write your answers as mixed
numbers in simplest form(if necessary).
1
1.) 6 
3
2.)
2
5
3
Dividing Mixed Numbers
Example 3: Divide the following mixed numbers.
2 1
2 1
3 6
8 7

3 6
8 7 8 6
  
3 6 3 7
÷3
8 6 8 2
  
3÷ 37 1 7
8 2 16
 
1 7 7
16
2
2
7
7
Original problem
Write the mixed numbers
as improper fractions.
Rewrite as multiplication
using the reciprocal of
the divisor.
Cross reduce (optional)
Multiply the numerators
and denominators.
Rewrite as a mixed
number.
Solve the following problems. Write your answers as mixed
numbers in simplest form(if necessary).
1
2
1.)  3
2
5
4 5
2.) 2  1
5 7
Real-Life Application
One day, Vinay decided to make sushi rolls. First, he laid down a sheet
of seaweed, called nori, on the sushi rolling mat. Then, he used the
mat to roll up rice, cucumber and avocado. Finally, he cut up the roll
1
into smaller pieces. If Vinay had 2 cups of rice and used
for each
3
sushi roll, how many sushi rolls did he make?