Question

3 1/2 ​ ×3 1/2 = ???

Answer 1

Answer:

12 1/4

Step-by-step explanation:

Answer 2

Answer:

49/4 (exact result)  or as a mixed fraction 12 1/4

Step-by-step explanation:

Simplify the following:

(3 + 1/2) (3 + 1/2)

Put 3 + 1/2 over the common denominator 2. 3 + 1/2 = (2×3)/2 + 1/2:

(3 + 1/2) (2×3)/2 + 1/2

2×3 = 6:

(3 + 1/2) (6/2 + 1/2)

6/2 + 1/2 = (6 + 1)/2:

(3 + 1/2) (6 + 1)/2

6 + 1 = 7:

(3 + 1/2)×7/2

Put 3 + 1/2 over the common denominator 2. 3 + 1/2 = (2×3)/2 + 1/2:

7/2 (2×3)/2 + 1/2

2×3 = 6:

((6/2 + 1/2)×7)/2

6/2 + 1/2 = (6 + 1)/2:

7/2 (6 + 1)/2

6 + 1 = 7:

7/2×7/2

7/2×7/2 = (7×7)/(2×2):

(7×7)/(2×2)

2×2 = 4:

(7×7)/4

7×7 = 49:

Answer:  49/4 or as mixed fraction ->

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Convert to a mixed number:

49/4

Divide 49 by 4:

4 | 4 | 9

4 goes into 4 at most one time:

| 1 | |  

4 | 4 | 9 |  

- | 4 | |  

| 0 | 9 |  

4 goes into 9 at most 2 times:

| 1 | 2 |  

4 | 4 | 9 |  

- | 4 | |  

| 0 | 9 |  

| - | 8 |  

| | 1 |  

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

| 1 | 2 | (quotient)

4 | 4 | 9 |  

- | 4 | |  

| 0 | 9 |  

| - | 8 |  

| | 1 | (remainder)

The quotient of 49/4 is 12 with remainder 1, so:

Answer: 12 1/4