Solve (a+b)÷(3/4): Division with Algebraic Expression and Fractions

Solve the following problem:

(a+b):(3/4)=? (a+b):(3/4)=\text{?}

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Step-by-step video solution

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00:00 Solve
00:03 Let's write division as a fraction
00:11 Division is also multiplication by the reciprocal
00:23 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Solve the following problem:

(a+b):(3/4)=? (a+b):(3/4)=\text{?}

2

Step-by-step solution

Begin by writing the exercise as a fraction:

(a+b):34= (a+b):\frac{3}{4}=

Proceed to write the fraction in reverse order for the purpose of obtaining a multiplication exercise:

(a+b)×43= (a+b)\times\frac{4}{3}=

Finally we obtain the following result:

43(a+b) \frac{4}{3}(a+b)

3

Final Answer

43(a+b) \frac{4}{3}(a+b)

Practice Quiz

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\( 100-(5+55)= \)

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