What happens when you multiply both the numerator and the denominator of a fraction by 9?

a. the new fraction has the same value as the original fraction but has 9 times as many parts.

b. the number in the numerator increases by 9.

c. the number in the denominator increases by 9.

d. nothing happens. the number of parts stays the same

Answer :

A- The new fraction has the same value as the original fraction but has 9 times as many parts.

step-by-step explanation :

When you multiply a fraction , just multiply the numerators, then the denominators, then symplify or reduce ...

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!