Mathematics
Grade6
Easy

Question

6 over 11 cross times 5 over 6 =

  1. 15 over 33
  2. 30 over 66
  3. 11 over 17
  4. 5 over 11

Hint:

In fraction multiplication, first we multiply the numerators of the given numbers. This product becomes the numerator of the product. Then we multiply the denominators of the given numbers, which becomes the denominator of the product. Thus, we get a product. Now, in this question we will not get the product in the simplest form so we need to reduce it to the simplest form. To reduce it we need to divide both the numerator and the denominator by the HCF [highest common factor] of both the numbers.

The correct answer is: 5 over 11



Step by step solution:
The way to multiply a fraction is by simply multiplying straight across. The product is also supposed to be a fraction so the numerator of the product will be the product of the numerators of the given numbers and the denominator of the product will be the product of the denominators of the given numbers.
In the given question, 6 over 11 cross times 5 over 6 equals fraction numerator 6 cross times 5 over denominator 11 cross times 6 end fraction equals 30 over 66
Now, the product that we have got is not in its simplest form. For that we need to divide both the numerator and the denominator  by the HCF [ Highest Common Factor] of both the numbers, i.e., 6 in this question.
Hence, we get 30 over 66 equals space 5 over 11
Thus, the correct option is option (d)

In the question, another approach could be that we can cut both the sixes, i.e., 6 in the numerator of the first fraction and the 6 in the denominator of the second fraction. That way we do not have to reduce the fraction later into its simplest form.
6 over 11 cross times 5 over 6 equals space 5 over 11
Thus, we get option (d) as the correct option.

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