Mathematics
Grade6
Easy

Question

Complete the multiplication sentence.

3 × ? = 3 over 7.

  1. 5 over 7
  2. 6 over 7
  3. 4 over 7
  4. 1 over 7

hintHint:

In the question, given 3 cross times space ? space equals 3 over 7 . It is required to find the number in place of the question mark. To find that number we just need to divide 3 over 7by 3. Since we all know that if a number multiplied by 3 gives 3 over 7 then the number is equal to 3 over 7 divided by 3.

The correct answer is: 1 over 7


Step by step solution:
Given, 3 cross times space ? space equals 3 over 7
Let us consider the number required to be found as 'x'.
Now, the equation becomes 3 cross times x equals 3 over 7
rightwards double arrow space x space equals space 3 over 7 divided by 3
Now, we all know that in fraction division, we can simply reciprocate the number to the right of the 'divided by' sign and replace the 'divided by' sign with 'x' sign and perform multiplication.
Therefore, x equals 3 over 7 cross times 1 third
rightwards double arrow x equals 1 over 7
Here, the 3 in the numerator of the first fraction gets reduced by the 3 in the denominator of the second fraction.
Thus, we get x = 1 over 7 which is the required answer.
Hence, option (d) is the correct option.

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