HELP! Sam needs 5
-
6
cup mashed bananas and
3
-
4
cup mashed strawberries for a recipe. He wants to find whether he needs more bananas or more strawberries.

How can he write
5
-
6
and
3
-
4
as a pair of fractions with the smallest common denominator?

The answers would be 10/12 and 9/12 hence he would need more strawberries

Step-by-step explanation:

12 is the lowest Common Denominator that can go into 6 and 4 so in order to get the denominator to 12 you have to multiply 5/6 by 2 and 3/4 by 3. This will also get you the answer of Sam needing more strawberries and not bananas.

Hope this helps!

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!

the difference between a number and 5 is -2.

step-by-step explanation:

notice that the equation you are given has -2 (negative 2) on the right side, not 2. when you subtract 5 from a number n, you are finding the difference between the number and 5.

the difference between a number and 5 is -2.