1-3 Dividing Rational Numbers I can •divide fractions •divide decimals. Learning Target:
1-3 Dividing Rational Numbers
Reciprocal
Vocabulary
• Two numbers that have a product of 1
• Flip a fraction upside down
• example: 3 and 4 4 3
1-3 Dividing Rational NumbersExample 1: I can divide fractions.
Divide. Write the answer in simplest form.
Multiply by the reciprocal.
5 11
÷ 1 2
5 11
• 2 1
=
No common factors.
5 11
÷ 1 2
10 11= Simplest form
5 11
• 2 1
=
1-3 Dividing Rational Numbers
k ÷ for k = 54 5
5 ÷ 5 4
= 5 1
•4 5
1 46
5 • 51 • 4
= == 254
Evaluate the expression for the given value of the variable.
Divide.
Multiply by the reciprocal.
Example 2: I can divide fractions.
1-3 Dividing Rational Numbers
Divide. Write the answer in simplest form.
3 8
÷ 22
3 8
÷ 22 = 19 8
2 1÷ Write as an improper fraction.
Multiply by the reciprocal.
No common factors
= 19 8
1 2
19 • 18 • 2
=
3 16
=1 19 ÷ 16 = 1 R 319 16=
Example 3: I can divide fractions.
1-3 Dividing Rational Numbers
= 1.6
38.424
=
Find 0.384 ÷ 0.24.
Ex 1: I can divide decimals
0.3840.24
0.384 ÷ 0.24 = 100100
Divide.38.424
=
1-3 Dividing Rational Numbers
= 2.34
58.525
=
Find 0.585 ÷ 0.25.
Example 2: I can divide decimals.
0.5850.25
0.585 ÷ 0.25 = 100100
Divide.58.525
=
1-3 Dividing Rational Numbers
7 15
÷ 3 4
7 15
• 4 3
=7 15
÷ 3 4
28 45
=
Divide. Write the answer in simplest form.
Multiply by the reciprocal.
No common factors.
Simplest form
7 • 415 • 3
=
Lesson quiz: I can divide fractions.
1-3 Dividing Rational Numbers
2. Divide.
–12 ÷ 2.5
A. –4.8
B. –4.3
C. 5.0
D. 5.2
Lesson Quiz: I can divide decimals