Use the fact that 4.86 : 0.45 = 10.8. find 4.86 : 4.5 without dividing. explain your work

Hence, the value of expression (2) is ⇒ 1.08.

Step-by-step explanation:

We are given a fact such that:

4.86 : 0.45=10.8  (1)

Now we are asked to find the value of the mathematical expression:

4.86 : 4.5  (2) without actually dividing.

We could clearly see that the numerator in both the mathematical expression is same only there is a difference in there denominator.

The denominator in second expression is just a multiplication of the denominator of first expression by 10.

Hence we divide both side of expression (1) by 10 to obtain the expression (2).

i.e. 4.86: (0.45×10)=10.8:10

i.e.  4.86: 4.5= 1.08

Hence, the value of expression (2) is 1.08.