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Order of Operations Involving Fractions 1Order of Operations Involving Fractions 1
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Question 1 of 4
1. Question
Solve the following.23−12×34Write fractions in the format “a/b”- (7/24)
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Chapters- Chapters
Order of Operations (BODMAS)
B – Bracket
O – Over (Powers, Exponents)
D – Division
M – Multiplication
A – Addition
S – SubtractionAccording to BODMAS, Multiplication is prioritized over Subtraction.Ignore the subtraction for now and only do multiplication.23−12×34 = 23−38 To proceed with Subtraction, find the LCD of 3 and 8Multiples of 3:369121518212427Multiples of 8:81624324048The LCD of 3 and 8 is 24Use the LCD as the denominator and then subtract.23−38 = (24÷3)×224−(24÷8)×324 = 8×224−3×324 = 1624−924 = 724 724 -
Question 2 of 4
2. Question
Solve the following.37+14×3+14- 1.
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Chapters- Chapters
Order of Operations (BODMAS)
B – Bracket
O – Over (Powers, Exponents)
D – Division
M – Multiplication
A – Addition
S – SubtractionAccording to BODMAS, Multiplication is prioritized over Addition.Ignore the addition for now and only do multiplication.37+14×3+14 = 37+34+14 Next, proceed with the AdditionSince the denominators of the second and third value are the same, add only the numerators37+34+14 = 37+44 = 37+1 Simply combine the two remaining values to make a mixed number37+1 = 137 137 -
Question 3 of 4
3. Question
Solve the following.5−25÷710-
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Chapters- Chapters
Order of Operations (BODMAS)
B – Bracket
O – Over (Powers, Exponents)
D – Division
M – Multiplication
A – Addition
S – SubtractionTransforming an Improper to Mixed Fraction
bc=QRc(b÷c)=Q and R is the remainderAccording to BODMAS, Division is prioritized over Subtraction.Ignore the subtraction for now and only do division.5−25÷710 = 5−25×107 Find the reciprocal of 710 then proceed with multiplication = 5−21×27 Simplify = 5−47 Make 5 into a fraction. Recall that all whole numbers has 1 as a denominator5 = 51 To proceed with Subtraction, find the LCD of 1 and 7Multiples of 1:1234567Multiples of 7:714212835The LCD of 1 and 7 is 7Use the LCD as the denominator and then subtract.51−47 = (7÷1)×57−(7÷7)×47 = 7×57−1×47 = 357−47 = 317 Finally, convert the improper fraction into a mixed number.Arrange the numbers for long division7 goes into 31 four times. So write 4 above the line.Multiply 4 to 7 and write the answer below 31Subtract 28 from 31 and write the answer one line belowSince 7 cannot go into 3 anymore, 3 is left as the Remainder and 4 is the QuotientSubstitute values into the given formulabc = QRc 317 = 437 437 -
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Question 4 of 4
4. Question
Solve the following.115÷2+4-
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- English
Chapters- Chapters
Order of Operations (BODMAS)
B – Bracket
O – Over (Powers, Exponents)
D – Division
M – Multiplication
A – Addition
S – SubtractionTransforming a Fraction from Mixed to Improper
= (c×A)+bc First, convert the mixed number in a fraction by multiplying the denominator by the whole number and then adding the numerator115 = (5×1)+15 = 5+15 = 65 Next, make 2 into a fractions. Recall that all whole numbers has 1 as a denominator2 = 21 According to BODMAS, Division is prioritized over Addition.Ignore the addition for now and only do division.65÷21+4 = 65×12+4 Find the reciprocal of 21 then proceed with multiplication = 610+4 = 35+4 Simplify Simply combine the two remaining values to make a mixed number35+4 = 435 435 -
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Quizzes
- Shaded Fractions 1
- Shaded Fractions 2
- Equivalent Fractions 1
- Equivalent Fractions 2
- Equivalent Fractions 3
- Equivalent Fractions 4
- Simplify Fractions 1
- Simplify Fractions 2
- Simplify Fractions 3
- Find the Lowest Common Denominator
- Comparing Fractions 1
- Comparing Fractions 2
- Comparing Fractions 3
- Mixed and Improper Fractions 1
- Mixed and Improper Fractions 2
- Mixed and Improper Fractions 3
- Add and Subtract Fractions 1
- Add and Subtract Fractions 2
- Add and Subtract Fractions 3
- Add and Subtract Fractions 4
- Multiply and Divide Fractions 1
- Multiply and Divide Fractions 2
- Multiply and Divide Fractions 3
- Add and Subtract Mixed Numbers 1
- Add and Subtract Mixed Numbers 2
- Add and Subtract Mixed Numbers 3
- Multiply and Divide Mixed Numbers 1
- Multiply and Divide Mixed Numbers 2
- Multiply and Divide Mixed Numbers 3
- Multiply and Divide Mixed Numbers 4
- Fraction Word Problems: Addition and Subtraction 1
- Fraction Word Problems: Addition and Subtraction 2
- Fraction Word Problems: Addition and Subtraction 3
- Fraction Word Problems: Addition and Subtraction 4
- Fraction Word Problems: Multiplication and Division
- Find the Fraction of a Quantity
- Find the Quantity of a Quantity 1
- Find the Quantity of a Quantity 2
- Find the Fraction of a Quantity: Word Problems 1
- Find the Fraction of a Quantity: Word Problems 2
- Find the Fraction of a Quantity: Word Problems 3
- Find the Fraction of a Quantity: Word Problems 4
- Find the Quantity of a Quantity: Word Problems
- Order of Operations Involving Fractions 1
- Order of Operations Involving Fractions 2