Mathematics
Grade6
Easy

Question

3 over 8 cross times 2 over 3=

  1. 1 fourth
  2. 9 over 16
  3. 3 over 4
  4. 1 over 6

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: 1 fourth


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, 3 over 8 cross times 2 over 3 equals 6 over 24
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 6 over 24 equals 1 fourth
Thus, the correct option is option (a)

Another approach to the question could be that first we can cut both the 3s, i.e., the 3 in the numerator of the first fraction and the 3 in the denominator of the second fraction. Also, we can reduce the 8 in the denominator of the first fraction and the 2 in the numerator in the second fraction. The 8 gets reduced to 4.
Hence, 3 over 8 cross times 2 over 3 equals 1 fourth
Thus, option (a) is the correct option.

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