Simplify the Algebraic Expression: 3m⋅12n/(7m⋅4n)

Simplify the following expression:

3m⋅12n/(7m⋅4n)=? 3m\cdot12n/(7m\cdot4n)=\text{?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:09 Let's solve this problem together.
00:12 First, we'll write the division as a fraction.
00:19 Next, let's simplify what we can.
00:26 We'll break down twelve into factors of three and four.
00:38 Now, let's reduce the fraction again.
00:46 Break down nine into seven plus two.
00:50 Separate the fraction into a whole number and a remainder.
00:57 And that's how we solve the problem. Great job!

Step-by-step written solution

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1

Understand the problem

Simplify the following expression:

3m⋅12n/(7m⋅4n)=? 3m\cdot12n/(7m\cdot4n)=\text{?}

2

Step-by-step solution

Let's write the exercise as a fraction:

3m×12n7m×4n= \frac{3m\times12n}{7m\times4n}=

Let's reduce between the m in the numerator and the n in the denominator:

3×127×4= \frac{3\times12}{7\times4}=

Let's write the 12 in the numerator of the fraction as a smaller multiplication exercise:

3×4×37×4= \frac{3\times4\times3}{7\times4}=

Let's reduce between the 4 in the numerator and the denominator:

3×37=97=127 \frac{3\times3}{7}=\frac{9}{7}=1\frac{2}{7}

3

Final Answer

127 1\frac{2}{7}

Practice Quiz

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

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