Question

Multiplying a number by 4 1/2 is the same as dividing the number by what fraction

Answer 1

Answer:

Multiplying 2/9 by 4 1/2 is the same as dividing the 9/2 by the fraction.

Step-by-step explanation:

• The reciprocal of a fragment will acquire through interchanging the numerator and denominator. For example, y/x is the reciprocal of the fraction x/y, i.e. y/x = 1/(x/y).

So, permit a few quantity be x.

4½

To change a mixed number to an improper fraction, follow these steps:

1. Multiply the whole number by the denominator.
2. Add that number to the numerator.
3. Write that sum on top of the original denominator.

4½

={ 2× 4 }+1 /2

= 9/2

• Multiplication of x with a number of can be identical as Division of reciprocal of x with the quantity .
• reciprocal of 9/2 is 2/9

hence x will be 2/9 .

(#SPJ2)

Answer 2

The required fraction is  $\frac{2}{9} .$

Step-by-step explanation:

• According to the given information, a number is multiplied by $4\frac{1}{2}$. Now, we need to find that what should the same number be divided by so as to get the same result as the aforesaid multiplication product.
• Now, first we need to convert the mixed fraction that is $4\frac{1}{2}$ to a proper fraction in order to proceed with the calculation.
• $4\frac{1}{2}$ can be written as $\frac{9}{2}$.
• Now the result of the division in order to be exactly same with the product of the multiplication, the number needs to be divided by the reciprocal of  $\frac{9}{2}$ that is $\frac{2}{9} .$
• This is because, when a number say, x, is multiplied by  $\frac{9}{2}$ , the product is  $\frac{9}{2}x$ .
• Now, when the same number that is x is divided by the reciprocal of  $\frac{9}{2}$ , we get, $\frac{x}{\frac{2}{9} }$ which is equal to  $\frac{9}{2}x$.

Hence, the required fraction is  $\frac{2}{9} .$

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