The sum of 4 1/2 and what number is 12 5/7? Show your work

Conversion a mixed number 4 1/

2

to a improper fraction: 4 1/2 = 4 1/

2

= 4 · 2 + 1/

2

= 8 + 1/

2

= 9/

2

To find new numerator:

a) Multiply the whole number 4 by the denominator 2. Whole number 4 equally 4 * 2/

2

= 8/

2

b) Add the answer from previous step 8 to the numerator 1. New numerator is 8 + 1 = 9

c) Write a previous answer (new numerator 9) over the denominator 2.

Four and one half is nine halfs

Add: 9/

2

+ 12 = 9/

2

+ 12/

1

= 9/

2

+ 12 · 2/

1 · 2

= 9/

2

+ 24/

2

= 9 + 24/

2

= 33/

2

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 1) = 2. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 1 = 2. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - nine halfs plus twelve = thirty-three halfs.

Add: the result of step No. 2 + 5/

7

= 33/

2

+ 5/

7

= 33 · 7/

2 · 7

+ 5 · 2/

7 · 2

= 231/

14

+ 10/

14

= 231 + 10/

14

= 241/

14

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 7) = 14. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 7 = 14. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - thirty-three half's plus five sevenths = two hundred forty-one fourteenths.

Step-by-step explanation:

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.