Page 75 - NUMINO TG_6A
P. 75
Workbook With Parentheses
076-B1-1 076-B1-2
The Order of Operations of Fractions (1) 2. Evaluate each expression.
1. Evaluate each expression.
Example Example
Multiply or divide from left to right, and then add or subtract from left to right when First, do the operations in the parentheses. Then multiply or divide from left to
evaluating an expression of fractions. right. Finally, add or subtract from left to right.
7 1 3 1 3 2 1 ( 3 2 1 )
2 3 8 4 10 10
a. 3 1 1 3 3 1 1 3 a. 4 1 ( 1 3 ) 4 1 ( 15 15 )
3 2 4 3 2 2 3 5 2
3 1 3 2 15
3
b. 2 3 1 2 2 5 1 2 2 b. ( 4 3 ) 1 ( 10 3 ) 1
5 2 5 2 5 5 10 2 10 2
10 5 10
Objective Use the order of operations to Objective Use the order of operations to
solve problems with fractions. solve problems with fractions.
Textbook Reference Activity 1 Textbook Reference Activity 1
076-B2-1 076-B2-2
The Order of Operations of Fractions (2) 2. Evaluate each expression.
1. Evaluate each expression. Example
Example
1 1 4 2 2 Write the mixed numbers as 1 1 1 2 1 Write the mixed numbers as
10 9 improper fractions. 2 3 3 2 improper fractions.
Change the division into multiplication.
Multiply the fractions. Multiply the fractions on the left.
Write the fractions so that they Change the division into
have the common denominators. multiplication.
Multiply the fractions.
Add the fractions. Write the fractions so that they
Write the improper fraction as a have the common
mixed number. denominators.
Add the fractions.
3 2 5 1 35 Write the improper fraction as a
8 3 6 3 5 12 mixed number.
a. 1 b.
a. 3 1 19 b. 1 2 3 1
4 2 5 10 4 5 2
c. 4 1 1 1 d. 3 5 2 1 1 6
5 10 4 6 3 7
c. 1 3 2 5 d. 1 1 5 2
5 3 12 5 3 9
e. 1 5 21 f. 3 18
6 59 5 4 15
e. 1 1 1 5 3 f. 3 3 1 7 4
2 3 10 5 5 10
Objective Use the order of operations to Objective Use the order of operations to
solve problems with fractions. solve problems with fractions.
Textbook Reference Activity 1 Textbook Reference Activity 1
058 NUMINO Teacher s Guide
076-B1-1 076-B1-2
The Order of Operations of Fractions (1) 2. Evaluate each expression.
1. Evaluate each expression.
Example Example
Multiply or divide from left to right, and then add or subtract from left to right when First, do the operations in the parentheses. Then multiply or divide from left to
evaluating an expression of fractions. right. Finally, add or subtract from left to right.
7 1 3 1 3 2 1 ( 3 2 1 )
2 3 8 4 10 10
a. 3 1 1 3 3 1 1 3 a. 4 1 ( 1 3 ) 4 1 ( 15 15 )
3 2 4 3 2 2 3 5 2
3 1 3 2 15
3
b. 2 3 1 2 2 5 1 2 2 b. ( 4 3 ) 1 ( 10 3 ) 1
5 2 5 2 5 5 10 2 10 2
10 5 10
Objective Use the order of operations to Objective Use the order of operations to
solve problems with fractions. solve problems with fractions.
Textbook Reference Activity 1 Textbook Reference Activity 1
076-B2-1 076-B2-2
The Order of Operations of Fractions (2) 2. Evaluate each expression.
1. Evaluate each expression. Example
Example
1 1 4 2 2 Write the mixed numbers as 1 1 1 2 1 Write the mixed numbers as
10 9 improper fractions. 2 3 3 2 improper fractions.
Change the division into multiplication.
Multiply the fractions. Multiply the fractions on the left.
Write the fractions so that they Change the division into
have the common denominators. multiplication.
Multiply the fractions.
Add the fractions. Write the fractions so that they
Write the improper fraction as a have the common
mixed number. denominators.
Add the fractions.
3 2 5 1 35 Write the improper fraction as a
8 3 6 3 5 12 mixed number.
a. 1 b.
a. 3 1 19 b. 1 2 3 1
4 2 5 10 4 5 2
c. 4 1 1 1 d. 3 5 2 1 1 6
5 10 4 6 3 7
c. 1 3 2 5 d. 1 1 5 2
5 3 12 5 3 9
e. 1 5 21 f. 3 18
6 59 5 4 15
e. 1 1 1 5 3 f. 3 3 1 7 4
2 3 10 5 5 10
Objective Use the order of operations to Objective Use the order of operations to
solve problems with fractions. solve problems with fractions.
Textbook Reference Activity 1 Textbook Reference Activity 1
058 NUMINO Teacher s Guide
