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:

x> 6

step-by-step explanation:

8x+8> 7x+14

8x-7x> 14-8

x> 6