Using Oder of Operations Procedure with Fractions

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NEO Thu, Jan 27, 2022 10:57 AM UTC

Tjhis pdf includes:-
Order of Operations with Fractions
Evaluate Exponents
Multiply and divide
Add and Substract

1. MAT 040: Basic Math Learning Unit 6: Handout
Order of Operations with Fractions
Order of Operations
1. Do all operations inside parentheses and other grouping symbols.
2. Evaluate exponents.
3. Multiply and divide from left to right.
4. Add and subtract from left to right.
Example 1
Solve. There are no operations inside parentheses so
evaluate the exponents first.
Multiply next.
Always multiply before adding or subtracting.
Now subtract. Remember to get a common
denominator when subtracting.
Answer:
Example 2
Solve. There are no operations inside parentheses so
evaluate the exponents first.
Multiply next.
Always multiply before adding or subtracting.
Find a common denominator
Add the fractions.
Answer:
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2. MAT 040: Basic Math Learning Unit 6: Handout
Example 3
Solve. Perform operations inside parentheses first.
Find a common denominator when
adding fractions.
Now add and subtract from left to right.
Find a common denominator for all
the denominators.
Answer:
Example 4
Solve. Multiply and divide from left to right.
When dividing, invert and multiply.
Add and subtract from left to right.
Get a common denominator.
Answer:
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3. MAT 040: Basic Math Learning Unit 6: Handout
Example 5
Solve. Always multiply before adding or subtracting.
Find a common denominator when
subtracting fractions.
Answer:
Example 6
Solve. Always divide before adding or subtracting.
When dividing, invert and multiply.
Get a common denominator when
subtracting fractions.
Answer:
Example 7
Multiply before adding or subtracting.
Add or subtract from left to right.
Get a common denominator when subtracting.
Get a common denominator when adding.
Reduce.
Answer:
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4. MAT 040: Basic Math Learning Unit 6: Handout
Example 8
Perform operations inside the parentheses first.
Get a common denominator when
adding fractions.
Next evaluate the exponents.
Next multiply before adding or subtracting.
Get a common denominator when adding or
subtracting fractions.
Next add or subtract from left to right.
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5. MAT 040: Basic Math Learning Unit 6: Handout
Example 9
The following rainfall amounts were recorded: June inches, July inches, August inches and
September inches. Find the average rainfall for the four months.
To find the average amount of rainfall in this problem, add the numbers and divide by the
number of numbers. So you will add the four numbers and divide by 4.
+
__________
13
Now divide this sum by 4.
The average rainfall is inches.
Answer:
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6. MAT 040: Basic Math Learning Unit 6: Handout
Example 10
Bob weighed pounds, Bill weighed and John weighed pounds.
Find the average weight for the three boys.
To find the average weight in this problem, add the numbers and divide by the number of
numbers. So you will add the three numbers and divide by 3.
___________
487
Now divide this sum by 3.
The average weight is pounds
Answer:
© Brenda Moore and Indian Hills Community College
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