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1. Write each mixed number as an improper fraction. : 2 and 1/2
A. 5/2
B. 3/2
C. 5/4
D. 3/4
2.Write each mixed number as an improper fraction. :1 and 7/8
A. 14/8
B. 15/8
C. 7/15
D. 8/15
3.Write each improper fraction as a mixed number. :14/5
A. 1 and 4/5
B. 2 and 4/5
C. 2 and 9/5
D. 1 and 9/5
4. Write each mixed number as an improper fraction. :1 and 7/12
A. 12/7
B. 14/12
C. 19/7
D. 19/12
5. Write each improper fraction as a mixed number. :11/3
A. 2 and 5/6
B. 2 and 2/3
C. 3 and 9/3
D. 3 and 2/3

1. To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. This becomes the new numerator, while the denominator remains the same.

So for the mixed number 2 and 1/2, the improper fraction is:
2 * 2 + 1 = 5
The denominator remains 2.
Therefore, the improper fraction is 5/2.

The correct answer is: A. 5/2

2. Again, to convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. This becomes the new numerator, while the denominator remains the same.

For the mixed number 1 and 7/8, the improper fraction is:
1 * 8 + 7 = 15
The denominator remains 8.
Therefore, the improper fraction is 15/8.

The correct answer is: B. 15/8

3. To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient will be the whole number part of the mixed number, and the remainder will be the numerator of the fraction part.

For the improper fraction 14/5:
Dividing 14 by 5 gives us a quotient of 2 and a remainder of 4.
Therefore, the mixed number is 2 and 4/5.

The correct answer is: B. 2 and 4/5

4. To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. This becomes the new numerator, while the denominator remains the same.

For the mixed number 1 and 7/12, the improper fraction is:
1 * 12 + 7 = 19
The denominator remains 12.
Therefore, the improper fraction is 19/12.

The correct answer is: D. 19/12

5. To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient will be the whole number part of the mixed number, and the remainder will be the numerator of the fraction part.

For the improper fraction 11/3:
Dividing 11 by 3 gives us a quotient of 3 and a remainder of 2.
Therefore, the mixed number is 3 and 2/3.

The correct answer is: D. 3 and 2/3.

1. To write a mixed number as an improper fraction, you need to multiply the whole number part by the denominator of the fractional part and add that to the numerator of the fractional part. Let's apply this to the given mixed number: 2 and 1/2.

Step 1: Multiply the whole number part, 2, by the denominator of the fractional part, which is 2: 2 x 2 = 4.

Step 2: Add the result from Step 1 to the numerator of the fractional part, which is 1: 4 + 1 = 5.

Therefore, 2 and 1/2 can be written as the improper fraction 5/2.

So, the correct answer is option A: 5/2.

2. Let's apply the same process to the given mixed number: 1 and 7/8.

Step 1: Multiply the whole number part, 1, by the denominator of the fractional part, which is 8: 1 x 8 = 8.

Step 2: Add the result from Step 1 to the numerator of the fractional part, which is 7: 8 + 7 = 15.

Therefore, 1 and 7/8 can be written as the improper fraction 15/8.

So, the correct answer is option B: 15/8.

3. To write an improper fraction as a mixed number, you need to divide the numerator by the denominator. The quotient becomes the whole number part, and the remainder becomes the new numerator, while the denominator remains the same. Let's apply this to the given improper fraction: 14/5.

Step 1: Divide the numerator, 14, by the denominator, 5: 14 ÷ 5 = 2 with a remainder of 4.

Step 2: The quotient, 2, becomes the whole number part.

Step 3: The remainder, 4, becomes the new numerator.

Therefore, 14/5 can be written as the mixed number 2 and 4/5.

So, the correct answer is option B: 2 and 4/5.

4. Let's apply the same process to the given mixed number: 1 and 7/12.

Step 1: Multiply the whole number part, 1, by the denominator of the fractional part, which is 12: 1 x 12 = 12.

Step 2: Add the result from Step 1 to the numerator of the fractional part, which is 7: 12 + 7 = 19.

Therefore, 1 and 7/12 can be written as the improper fraction 19/12.

So, the correct answer is option D: 19/12.

5. To write an improper fraction as a mixed number, you need to divide the numerator by the denominator. The quotient becomes the whole number part, and the remainder becomes the new numerator, while the denominator remains the same. Let's apply this to the given improper fraction: 11/3.

Step 1: Divide the numerator, 11, by the denominator, 3: 11 ÷ 3 = 3 with a remainder of 2.

Step 2: The quotient, 3, becomes the whole number part.

Step 3: The remainder, 2, becomes the new numerator.

Therefore, 11/3 can be written as the mixed number 3 and 2/3.

So, the correct answer is option D: 3 and 2/3.

2 1/2 = 2 + 1/2 = 4/2 + 1/2 = 5/2

11/3 = 9/3 + 2/3 = 3 + 2/3 = 3 2/3
Do the others in like wise.