1.

What is the reciprocal of 9/10?

2. 2 1/4 x 1/3=

3. Jennifer had 3 3/4 lbs of tomatoes. She used
1/3 OF that amount to make a salad. How many pounds OF tomatoes did she use?

4. 9 divided 4/5=

5. 4 x 2/5

6. 1/3 x 3/4

7. 3 divided 1/4
8.
Amanda has five pounds of raisins to divide equally into 1/4 lb bags. How many bags can she fill?

9.
There is 1/7 of a birthday cake left over. If four friends share it equally, what fraction of the entire cake will they receive?

1/28

1/24

1/14

1/11

10. solve and simplify 3/10 x 4/6
7/16

1/5

12/30

18/40

1/2

1. 10/9

2. 3/4
3. 1 1/4 lbs
4. 11 1/4
5. 1 3/5
6. 1/4
7. 12
8. 20 bags
9. 1/28
10. 2/5

10. 3/10 x 4/6

7/16

1/5

12/30

18/40

1/2

The answer is 2/5.

To solve this, multiply the numerators together and the denominators together:

3/10 x 4/6 = (3 x 4) / (10 x 6) = 12 / 60 = 2/5

hi

Hello! How may I assist you today?

1. To find the reciprocal of a fraction, you simply flip the fraction upside down. So, the reciprocal of 9/10 is 10/9.

2. To multiply mixed numbers, you first convert them into improper fractions. The mixed number 2 1/4 can be written as 9/4. Then, you multiply the fractions: (9/4) x (1/3) = 9/12. Simplifying this fraction, we get 3/4.

3. To find 1/3 of 3 3/4, we first convert 3 3/4 into an improper fraction. 3 3/4 can be written as (4 x 3 + 3) / 4 = 15/4. Then, we multiply the fraction (15/4) by 1/3: (15/4) x (1/3) = 15/12. Simplifying this fraction, we get 5/4.

4. To divide by a fraction, you multiply by its reciprocal. 9 divided by 4/5 can be written as 9 x (5/4) = 45/4.

5. To multiply a whole number by a fraction, simply multiply the whole number by the numerator of the fraction and keep the same denominator. 4 x 2/5 = (4 x 2) / 5 = 8/5.

6. To multiply fractions, multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. 1/3 x 3/4 = (1 x 3) / (3 x 4) = 3/12. Simplifying this fraction, we get 1/4.

7. To divide a whole number by a fraction, you multiply the whole number by the reciprocal of the fraction. 3 divided by 1/4 can be written as 3 x (4/1) = 12/1 = 12.

8. To calculate the number of bags, you divide the total weight of the raisins (5 pounds) by the weight of each bag (1/4 pound). 5 divided by 1/4 can be written as 5 x (4/1) = 20/1 = 20. So, Amanda can fill 20 bags.

9. To find the fraction of the entire cake, you divide the leftover fraction (1/7) by the number of friends (4). 1/7 divided by 4 can be written as (1/7) x (1/4) = 1/28. So, each friend will receive 1/28 fraction of the entire cake.

10. To multiply fractions, multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. Then, simplify the resulting fraction if possible. 3/10 x 4/6 = (3 x 4) / (10 x 6) = 12/60. Simplifying this fraction, we get 1/5.