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Question 1 of 3
Solve the following.
34×23+(3-23)34×23+(3−23)
Incorrect
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Order of Operations (BODMAS)
B – Bracket
O – Over (Powers, Exponents)
D – Division
M – Multiplication
A – Addition
S – Subtraction
According to BODMAS, Bracket is prioritized over Multiplication, then followed by Addition.
Ignore the other operations for now and only do the operation inside the bracket, which is subtraction.
First, make 33 into a fraction. Recall that all whole numbers has 11 as a denominator
To proceed with Subtraction, find the LCDLCD of 11 and 33
Multiples of 11:
1234512345
Multiples of 33:
36912153691215
The LCDLCD of 11 and 33 is 33
Use the LCDLCD as the denominator and then subtract.
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31-2331−23 |
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== |
(3÷1)×33−(3÷3)×23(3÷1)×33−(3÷3)×23 |
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== |
3×33-1×233×33−1×23 |
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== |
92-2392−23 |
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== |
7373 |
Next, ignore the addition for now and only do Multiplication.
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34×23+7334×23+73 |
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== |
612+73612+73 |
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== |
12+7312+73 |
Simplify` |
Next, to proceed with Addition, find the LCDLCD of 22 and 33
Multiples of 22:
246810246810
Multiples of 33:
36912153691215
The LCDLCD of 22 and 33 is 66
Use the LCDLCD as the denominator and then add.
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12+7312+73 |
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== |
(6÷2)×16+(6÷3)×76(6÷2)×16+(6÷3)×76 |
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== |
3×16+2×763×16+2×76 |
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== |
36+14636+146 |
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== |
176176 |
Finally, convert the improper fraction into a mixed number.
Arrange the numbers for long division
66 goes into 1717 two times. So write 22 above the line.
Multiply 22 to 66 and write the answer below 1717
Subtract 1212 from 1717 and write the answer one line below
Since 66 cannot go into 55 anymore, 55 is left as the Remainder and 22 is the Quotient
Substitute values into the given formula
bcbc |
== |
QRcQRc |
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176176 |
== |
256256 |
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Question 2 of 3
Solve the following.
45+323÷1645+323÷16
Incorrect
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Order of Operations (BODMAS)
B – Bracket
O – Over (Powers, Exponents)
D – Division
M – Multiplication
A – Addition
S – Subtraction
First, convert the mixed number in a fraction by multiplying the denominator by the whole number and then adding the numerator
323323 |
== |
(3×3)+23(3×3)+23 |
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== |
9+23 |
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= |
113 |
According to BODMAS, Division is prioritized over Addition.
Ignore the addition for now and only do division.
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45+113÷16 |
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= |
45+113÷61 |
Find the reciprocal of 16 then proceed with multiplication |
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= |
45+663 |
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= |
45+22 |
Simplify |
Simply combine the two remaining values to make a mixed number
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Question 3 of 3
Solve the following.
58+112÷113
Incorrect
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Order of Operations (BODMAS)
B – Bracket
O – Over (Powers, Exponents)
D – Division
M – Multiplication
A – Addition
S – Subtraction
First, convert the mixed numbers in fractions by multiplying the denominator by the whole number and then adding the numerator
112
112 |
= |
(2×1)+12 |
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= |
2+12 |
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= |
32 |
113
113 |
= |
(3×1)+13 |
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= |
3+13 |
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= |
43 |
According to BODMAS, Division is prioritized over Addition.
Ignore the addition for now and only do division.
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58+32÷43 |
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= |
58+32×34 |
Find the reciprocal of 43 then proceed with multiplication |
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= |
58+98 |
Next, proceed with the Addition
Since the denominators of the remaining values are the same, add only the numerators
Finally, convert the improper fraction into a mixed number.
Arrange the numbers for long division
8 goes into 14 one time. So write 1 above the line.
Multiply 1 to 8 and write the answer below 14
Subtract 8 from 14 and write the answer one line below
Since 8 cannot go into 6 anymore, 6 is left as the Remainder and 1 is the Quotient
Substitute values into the given formula
bc |
= |
QRc |
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148 |
= |
168 |
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= |
134 |
Simplify the fraction |