Solve the Algebraic Expression: (2a·3b)÷(3a·4b)

2a⋅3b:(3a⋅4b)=? 2a\cdot3b:(3a\cdot4b)=\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
00:09 Let's reduce what we can
00:25 Let's break down 4 into factors 2 and 2
00:33 Let's reduce what we can
00:36 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

2a⋅3b:(3a⋅4b)=? 2a\cdot3b:(3a\cdot4b)=\text{?}

2

Step-by-step solution

Let's write the exercise as a fraction:

2a×3b3a×4b= \frac{2a\times3b}{3a\times4b}=

We'll reduce the a and b in the numerator and denominator of the fraction:

2×33×4= \frac{2\times3}{3\times4}=

We'll reduce the 3 in the numerator and denominator of the fraction:

24= \frac{2}{4}=

We'll write the 4 in the denominator as a multiplication exercise:

22×2= \frac{2}{2\times2}=

We'll reduce the 2 in the numerator and denominator of the fraction:

12 \frac{1}{2}

3

Final Answer

12 \frac{1}{2}

Practice Quiz

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

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