First, we know that when multiplying fractions, we multiply both the numerator and denominator.
so, in 4/9 • 4/5, 4•4 = 16, and 9•5 = 45
so, 4/9 • 4/5 = 16/45. now, we’ll look for the Least Common Factor
factors are numbers that you can multiply together to = another number. the LEAST common Factor is the # that is smallest that you can divide both numbers by, in an equation and get a whole number.
for instance, 3•3 and 1•9 are the only ways to get 9, so, the factors are 1, 3, 9
let’s look for the LCF in 16 and 45. - if we find the ways to get 16, we have: 1•16, 2•8, and 4•4 so, the factors are 1, 2, 4, 8, and 16. this is called FACTORING :)
the ways to get 45 are... 1•45, 3•15, and 5•9, so the FACTORS are 1, 3, 5, 9, 15, & 45. - compare the factors of 16 & 45, none of them are the same besides 1, and we know that dividing these numbers by 1 will not do anything.
because of this, we can not reduce 16/45, so the reduced answer to 4/9 • 4/5 = 16/45
(4/3,2/3) will the point on the line after dilation
Step-by-step explanation:
Dilation is a transformation in which every point on line is dilated or multiplied away by the scale factor. This means, that dilation either enlarges the figure or reduces it in size.
So that means, if a point A(1,1) lies on a line and this line is dilated by a factor 2. Then, the new line will be passing through point
A(1,1) ---> A'(2*1,2*1) = A'(2,2)
Given: point on line (4,2) and scale factor 1/3
Result: The point is transformed or dilated by factor 1/3
