A talet weighs 2.22... pounds. What is the tablet's weight written as a mixed number fraction ?

2 11/50

Step-by-step explanation:

Convert to a mixed number:

111/50

Hint: | Use long division to get a quotient and remainder.

Divide 111 by 50:

5 | 0 | 1 | 1 | 1

Hint: | How many times does 50 go into 111?

50 goes into 111 at most 2 times:

| | | | 2

5 | 0 | 1 | 1 | 1

| - | 1 | 0 | 0

| | | 1 | 1

Hint: | Summarize the results.

Read off the results. The quotient is the number at the top and the remainder is the number at the bottom:

| | | | 2 | (quotient)

5 | 0 | 1 | 1 | 1 |  

| - | 1 | 0 | 0 |  

| | | 1 | 1 | (remainder)

Hint: | In the equivalent mixed fraction, the quotient becomes the whole number part, the remainder becomes the numerator part, and the divisor (denominator) remains the denominator.

The quotient of 111/50 is 2 with remainder 11, so:

2 11/50

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!

7

step-by-step explanation: