Find the product.
3. 8 2/5 * 5 1/2
A. 46 1/5
B. 40 1/5
C. 40
D. 40 2/5
4. Evaluate the expression for x=3 3/4
8x + 8
a. 30
b. 128
c. 14
d. 38
5. A bag of fertilizer weighs 6 1/2 lb. How much does 1 1/3 bags of fertilizer weigh.
A. 5 1/6 lb.
B. 6 1/6 lb.
C. 7 5/6 lb.
D. 8 2/3 lb.
6. Find the quotient.
6 (divided by) 1/5
A. 1 1/5
B. 1/5
C. 5/36
D. 30
Where are your attempts to do these?
3b
4c
5a
6a
To solve these problems, we will need to apply some basic mathematical operations. Here's how to solve each of the problems:
3. To find the product of two mixed numbers, we multiply the whole numbers, multiply the fractions, and then add the products. In this case, we have:
8 2/5 * 5 1/2
To multiply the whole numbers, we have 8 * 5 = 40.
To multiply the fractions, we have (2/5) * (1/2) = 2/10 = 1/5.
Now, we add the two products together: 40 + 1/5.
The answer is C. 40.
4. To evaluate the expression for a given value of x, substitute that value into the expression and simplify. In this case, we have:
8x + 8
Substitute x = 3 3/4 into the expression:
8(3 3/4) + 8
To multiply a whole number by a mixed number, we first convert the mixed number to an improper fraction. 3 3/4 is equivalent to 15/4. Then, we multiply:
8(15/4) + 8
Simplifying:
120/4 + 8
30 + 8
The answer is a. 38.
5. To find the weight of 1 1/3 bags of fertilizer, we need to multiply the weight of one bag by 1 1/3. In this case, we have:
1 1/3 * 6 1/2
To multiply the whole numbers, we have:
1 * 6 = 6.
To multiply the fractions, we have:
(1/3) * (1/2) = 1/6.
Now, we add the two products together: 6 + 1/6.
The answer is B. 6 1/6 lb.
6. To find the quotient of a number divided by a fraction, we can multiply the number by the reciprocal of the fraction. In this case, we have:
6 / (1/5)
To find the reciprocal of 1/5, we flip it: 1/5 becomes 5/1.
Now, we can multiply: 6 * (5/1).
Simplifying, we have:
30/1
The answer is D. 30.