Adding Mixed Numbers

Name a profession that would use mixed numbers and give an example of how they would add mixed numbers.

A recipe needs to add and subtract mixed numbers for the ingredients. If you had 4 2/4 cups of flour and you wanted to make two recipes, one that needed 1 2/3 cups of flour and one that needed 2 3/4 cups of flour, you would need to know if you had enough.

Adding Mixed Numbers

You can find the sum of mixed numbers by adding the whole number and fraction parts separately. Then combine the two parts to find the total.

Which of the following is the lowest common denominator for the fractions 5/6 and 3/4? a. 4 b. 12 c. 15 d. 24

b. 12

Which of the following models represents the difference 4/5 - 2/3? a. Figure A b. Figure B c. Figure C d. Figure D

b. Figure B

You have 1 3/4 pounds of red apples and 2 1/2 pounds of golden apples. How many pounds of apples do you have? a. 3 1/2 pounds b. 4 1/2 pounds c. 4 1/4 pounds d. 3 3/4 pounds

c. 4 1/4 pounds

Find the sum. 2 1/10 + 4 3/5 a. 10/67 b. 1 2/3 c. 6 7/10 d. 13 2/5

c. 6 7/10

Find the sum: 1/3 + 1/4 a. 1/12 b. 2/7 c. 7/12 d. 1

c. 7/12

Find the difference: 4/5 - 1/3 a. 3/2 b. 3/15 c. 7/15 d. 71/15

c. 7/15

Mrs. Peters bought 5 1/3 yards of fabric. She needs another 3 5/6 yards. How many yards of fabric does she need all together? a. 5 1/3 yards b. 8 1/3 yards c. 9 1/6 yards d. 3 5/6 yards

c. 9 1/6 yards

Find the sum. 5 13/15 + 5 1/15 a. 15/164 b. 5 1/13 c. 15/88 d. 10 14/15

d. 10 14/15

Find the sum. 6 13/15 + 4 1/15 a. 4 1/13 b. 15/ 103 c. 15/164 d. 10 14/15

d. 10 14/15

Find the sum. 4 7/8 + 5 3/16 + 3 1/8 a. 12 11/16 b. 13 1/2 c. 13 1/4 d. 13 3/16

d. 13 3/16

Use the digits 1, 2, 3, and 4 each one time to solve this problem. 3 ?/? + 1 ?/? = 4 11/12

3 2/3 + 1 1/4 = 4 11/12

Find each sum mentally. 1. 1 + 2 1/6 2. 2 2/3 + 4 3. 3 5/7 + 1 1/7 4. 8 1/5 + 3 2/5

1. 1 + 2 1/6 = 3 1/6 2. 2 2/3 + 4 = 6 2/3 3. 3 5/7 + 1 1/7 = 4 6/7 4. 8 1/5 + 3 2/5 = 11 3/5

Find 10 1/2 + 6 2/5 Mentally.

10 1/2 + 6 2/5 = 16 3/5 1)Add the whole numbers 2)Add the fractions 3)Combine two parts

a. 89.75 ft (22 1/2 + 22 1/2 +44 3/4 =89 3/4) b. 90 ft to make sure there's enough.

Mr Banks plans to put hedges around three sides of his parking lot as shown below. a. Find the total length of the 3 sides. b. If hedging can be ordered only in three-foot sections, how many feet must he order?

Eliza and Jamie are making cupcakes for a bake sale at school. Eliza needs 2 1/3 c of flour for her recipe and Jamie needs 1 3/4 c for her recipe. they have 4 c of flour. Do they have enough flour for both recipes? Explain.

No, they need 4 1/12 c, which is slightly more than 4c.

Explain how you can mentally find the sum of 3 2/3 + 4 1/5 + 1 1/3 + 2 3/5.

Since the bottom numbers aren't the same you have to find the LCM which is 15, so then you have 3 10/15 + 4 3/15 + 1 5 1/15 + 2 9/15. Then I would place them into two groups so I would put 3 10/15 + 4 3/15 in one group and 1 5/15 + 2 9/15 in the other group. First I would add all of the whole numbers which is 10. Then I would add the fractions in each group. Group 1 is 13/15 and group 2 is 14/15 . These equal 27/15 or 1 12/15 + the 10 whole = 11 12/15 or 11 4/5.

b. 18 1/8

The diagram above shows the measurements of a bookcase. what is the total height of the bookcase? a. 18 b. 18 1/8 c. 16 3/4 d. 17 1/8

mixed numbers

a number made up of a whole number that is not zero and a fraction.

Add or subtract. Write in simplest form. 5/8 + 4/7 a. 1 11/56 b. 5/14 c. 3/5 d. 9/56

a. 1 11/56

Find the sum. 7 13/15 + 5 1/15 a. 12 14/15 b. 15/118 c. 5 1/13 d. 15/194

a. 12 14/15

Find the sum. 7 12/13 + 4 3/13 a. 12 2/13 b. 13/103 c. 13 158 d. 4 3/12

a. 12 2/13

Subtract, write the answer in simplest form. 5 5/8 - 3/8 a. 5 1/4 b. 2 13/16 c. 6 d. 2 5/8

a. 5 1/4

Find the sum. 3 2/7 + 2 3/14 + 4 3/7 a. 9 13/14 b. 10 1/14 c. 9 9/28 d. 9 8/21

a. 9 13/14

Compare using <, =, or >. 12 7/15 + 6 2/5 ___ 19 a. < b. = c. >

a. <

Add or subtract. Write in simplest form. 5/8 + 4/5 a. 1/2 b. 1 17/40 c. 9/13 d. 9/40

b. 1 17/40

Find the sum. 6 9/13 + 4 1/13 a. 13/140 b. 10 10/13 c. 13/87 d. 4 1/9

b. 10 10/13

Find the sum. 5 12/13 + 5 3 1/3 a. 13/145 b. 11 2/13 c. 13/77 d. 5 3/12

b. 11 2/13