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04Use the Order of Operations to Solve Problems Unit
076-B4-1 076-B4-2
The Order of Operations of Fractions (3) 2. Evaluate each expression.
1. Evaluate each expression. Example
Example
(1 4 3 ) 7 Write the mixed numbers as 10 1 ( 2 1 ) 2 Write the mixed numbers as
5 10 18 improper fractions. 3 5 10 improper fractions.
Write the fractions in the Write the fractions in the
parentheses so that they have parentheses so that they have
the common denominators. the common denominators.
Subtract the fractions. Subtract the fractions.
Write the fractions so that they Multiply the fractions.
have the common Write the fractions so that they
denominators. have the common
Multiply the fractions. denominators.
Multiply the fractions.
Write the improper fraction as
a mixed number. Write the improper fraction as
a mixed number.
a. 1 ( 3 1 ) b. 1 3 ( 2 1 1 ) 3 1 1 1 1 1
5 5 4 5 2 2 8 2 4 6 2 3
a. 2 ( ) b. (3 )
c. ( 1 1 1 ) 2 d. ( 7 3 ) 3 3 1 3 2 1 1
4 2 3 8 4 4 4 4 8 3 5 7
c. ( ) 5 d. 2 ( )
e. 8 ( 2 1 2) f. 5 ( 1 1 5 ) 1 1 1 1 1 1 2
4 2 6 10 2 2 3 5 10 5
e. ( ) f. 2 ( )
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-B5-1 076-B5-2
Word Problems c. Ryan has 12 1 loaves of bread. His mom gives him 2 1 more loaves of bread.
1. Solve each problems. 2 2
Example Ryan divides the bread so that each of his 5 friends receives an equal amount.
Ricky has 5 L of apple juice. He drank 1 1 L and his 5 friends equally shared the How many loaves of bread does each person receive?
3
remaining amount. How many liters of apple juice did each friend drink?
5L d. Kate has 5 L of juice. She gets 3 1 L of more juice and divides the amount
6 2
of juice so that 6 of her friends gets an equal amount of juice. How many liters
of juice does each friend get?
a. Ann has 10 oranges. She gave her sister 2 1 oranges. Then she gave half of
2
the remaining number of oranges to her brother. How many oranges are left?
e. A piece of string was 3 1 yd long. You used 1 2 yd and then equally divided
2 3
the remaining piece of string so that each of your 11 friends gets an equal
amount. How many yards of string did each friend get?
b. There is 8 1 m of ribbon. You used 2 1 m to tie a box and you equally divided
3 2
the rest of the ribbon and gave them to 5 friends. How many meters of ribbon 3 1
did each friend receive? 4 4
f. Jessica had 1 m of string. She got 2 m more from Thomas. Jessica
divided the string so that each of her 8 friends receive an equal amount of
string. How many meters did each friend receive?
Objective Solve word problems that have Objective Solve word problems that have
fractions. fractions.
Textbook Reference Activity 3 Textbook Reference Activity 3
6A Unit 04 059
076-B4-1 076-B4-2
The Order of Operations of Fractions (3) 2. Evaluate each expression.
1. Evaluate each expression. Example
Example
(1 4 3 ) 7 Write the mixed numbers as 10 1 ( 2 1 ) 2 Write the mixed numbers as
5 10 18 improper fractions. 3 5 10 improper fractions.
Write the fractions in the Write the fractions in the
parentheses so that they have parentheses so that they have
the common denominators. the common denominators.
Subtract the fractions. Subtract the fractions.
Write the fractions so that they Multiply the fractions.
have the common Write the fractions so that they
denominators. have the common
Multiply the fractions. denominators.
Multiply the fractions.
Write the improper fraction as
a mixed number. Write the improper fraction as
a mixed number.
a. 1 ( 3 1 ) b. 1 3 ( 2 1 1 ) 3 1 1 1 1 1
5 5 4 5 2 2 8 2 4 6 2 3
a. 2 ( ) b. (3 )
c. ( 1 1 1 ) 2 d. ( 7 3 ) 3 3 1 3 2 1 1
4 2 3 8 4 4 4 4 8 3 5 7
c. ( ) 5 d. 2 ( )
e. 8 ( 2 1 2) f. 5 ( 1 1 5 ) 1 1 1 1 1 1 2
4 2 6 10 2 2 3 5 10 5
e. ( ) f. 2 ( )
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-B5-1 076-B5-2
Word Problems c. Ryan has 12 1 loaves of bread. His mom gives him 2 1 more loaves of bread.
1. Solve each problems. 2 2
Example Ryan divides the bread so that each of his 5 friends receives an equal amount.
Ricky has 5 L of apple juice. He drank 1 1 L and his 5 friends equally shared the How many loaves of bread does each person receive?
3
remaining amount. How many liters of apple juice did each friend drink?
5L d. Kate has 5 L of juice. She gets 3 1 L of more juice and divides the amount
6 2
of juice so that 6 of her friends gets an equal amount of juice. How many liters
of juice does each friend get?
a. Ann has 10 oranges. She gave her sister 2 1 oranges. Then she gave half of
2
the remaining number of oranges to her brother. How many oranges are left?
e. A piece of string was 3 1 yd long. You used 1 2 yd and then equally divided
2 3
the remaining piece of string so that each of your 11 friends gets an equal
amount. How many yards of string did each friend get?
b. There is 8 1 m of ribbon. You used 2 1 m to tie a box and you equally divided
3 2
the rest of the ribbon and gave them to 5 friends. How many meters of ribbon 3 1
did each friend receive? 4 4
f. Jessica had 1 m of string. She got 2 m more from Thomas. Jessica
divided the string so that each of her 8 friends receive an equal amount of
string. How many meters did each friend receive?
Objective Solve word problems that have Objective Solve word problems that have
fractions. fractions.
Textbook Reference Activity 3 Textbook Reference Activity 3
6A Unit 04 059
