Mathematics
Grade6
Easy

Question

1 half cross times 4 over 5=

  1. 4 over 5
  2. 5 over 2
  3. 2 over 5
  4. 5 over 8

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: 2 over 5


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, 1 half cross times 4 over 5 equals fraction numerator 1 cross times 4 over denominator 2 cross times 5 end fraction equals 4 over 10
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., 2 in this question.
Hence, 4 over 10 equals 2 over 5
Thus, the correct option is option (c)

In the question, another approach could be that we can cut the 2 in the denominator of the first fraction by the 4 in the numerator of the second fraction and reduce the 4 to 2. Then, we get 1 over 1 cross times 2 over 5 equals 2 over 5
Thus, we get option (c) as the correct option.

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