Problem: A number when divided by 43/6 gives 12/7 as the quotient. Find the number.

Solution:

Step 1: Understand the given problem and identify what is asked in the question.

We are given a number which is divided by 43/6 and the quotient obtained in this division is 12/7. We need to find the original number.

Step 2: Understand the meaning of division and quotient.

Division is a mathematical operation, which involves the splitting of a number into equal parts. Quotient, on the other hand, is the result obtained when one number is divided by another.

Step 3: Use the given information to set up an equation.

Let the number be x.

According to the given problem, x divided by 43/6 gives the quotient 12/7.

Therefore, we can write the equation as follows:

x / (43/6) = 12/7

Step 4: Solve the equation to find the value of x.

Multiplying both sides of the equation by (43/6) gives:

x = (12/7) x (43/6)

On simplifying, we get:

x = 36

Therefore, the original number is 36.

Step 5: Check the answer.

We can check the answer by dividing 36 by 43/6 and verifying that the quotient obtained is indeed 12/7.

36 / (43/6) = (36 x 6) / 43 = 216/43 = 12/7

The quotient obtained is 12/7, which is the same as the given quotient. Hence, the answer is correct.

Conclusion: The original number is 36.

Let a number 'x' divided by 43/6 gives 12/7 as the quotient
=x÷43/6=12/7
=x=12/7×43/6
=x=2×43/7
=x=86/7
Therefore
required number is 86/7