Question

what is the difference of 6/(7/2) and (6/7)/2?​

Answer 1

Nice question.

Consider 6/(7/2).

Here 6 is divided by 7/2, i.e., 3.5, as 7/2 is inside a bracket. So first we have to divide 7/2, and then divide 6 by this.

$\frac{6}{(\frac{7}{2})}=6\div 3.5=1.714285714285...$

This also results the method given below.

$\frac{6}{(\frac{7}{2})}=6 \div \frac{7}{2}=6 \times \frac{2}{7} = \frac{6 \times 2}{7}=\frac{12}{7}=1.714285714285...$

From this, we get the following.

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$\frac{a}{(\frac{b}{c})}=\frac{ac}{b}$

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Consider (6/7)/2.

This is only left to right calculation, similar to 6/7/2. First divide 6/7, and then divide the answer thus obtained by 2.

This results the following:

$\frac{(\frac{6}{7})}{2}=\frac{0.857142857142...}{2}=0.428571428571...$

The given below also seems true.

$\frac{(\frac{6}{7})}{2}=\frac{6}{7}\div 2=\frac{6}{7}\times \frac{1}{2}=\frac{6}{7 \times 2}=\frac{6}{14}=\frac{3}{7}=0.428571428571...$

From this, we get another thing.

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$\huge\boxed{\huge\boxed{\ \ \ \ \ \ \ \ \ \ \bold{TO\ REMEMBER...}\ \ \ \ \ \ \ \ \ \ }}$

$\frac{(\frac{a}{b})}{c}=\frac{a}{bc}$

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Because,

like 6 - 7 - 2 = 6 - (7 + 2),

it's 6 / 7 / 2 = 6 / (7 × 2).

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Hope this helps you. ^_^

Please mark it as the brainliest if this helps.

Also please ask me if you have any doubt.

Thank you. :-))

             

Answer 2

Answer: We know that,

6/(7/2) can be expressed as 1/6×7/2

and (6/7) /2can be expressed as 6/7×1/2

According to question,

7/12-6/14

=>49-36/84

=>13/84