Question 2 of 5
How did President George H.W. Bush advance the cause of civil rights?
A.
He strengthened affirmative action policies in the federal government.
B.
He promoted the No Child Left Behind Act for African American schoolchildren.
C.
He led the fight for the Americans With Disabilities Act.
D.
He opposed NAFTA because it discriminated against Latinos.
A. He strengthened affirmative action policies in the federal government.
Which option correctly shows
4
6
as a division expression?
A.
4
÷
1
6
B.
6
÷
1
4
C.
4
÷
6
D.
6
÷
4
B. 6 ÷ 1/4
Which quotient is equivalent to
3
3
4
?
A.
3
÷
4
B.
12
÷
3
C.
15
÷
4
D.
4
÷
15
C. 15 ÷ 4
Use the model showing 2 wholes divided into thirds to find the quotient
2
÷
1
3
. Select the correct response below.
The picture cannot be displayed here but the answer is:
1 2/3
Use the model showing 2 wholes divided into thirds to find the quotient
2
÷
1
3
. Select the correct response below.
2 equal-sized circles are shown next to each other. Both are divided into three equal parts. All parts are colored yellow.
The answer is: 1 2/3
Find the quotient of
5
÷
1
8
.
A.
5
8
B.
8
5
C.
4
D.
40
D. 40
Which of the following quotients are true? Select all that apply.
A.
1
2
÷
2
=
4
B.
1
3
÷
4
=
4
3
C.
1
2
÷
6
=
1
12
D.
1
5
÷
2
=
10
E.
1
8
÷
3
=
1
24
C. 1/2 ÷ 6 = 1/12
E. 1/8 ÷ 3 = 1/24
Four friends shared
1
2
of one carton of orange juice and
1
4
of another carton of apple juice.
What fraction of each carton of juice did each friend get?
A.
Each friend got
1
4
carton of orange juice and
1
8
carton of apple juice.
B.
Each friend got
1
6
carton of orange juice and
1
12
carton of apple juice.
C.
Each friend got
1
4
carton of orange juice and
1
16
carton of apple juice.
D.
Each friend got
1
8
carton of orange juice and
1
16
carton of apple juice.
B. Each friend got 1/6 carton of orange juice and 1/12 carton of apple juice.
Explanation:
To divide 1/2 and 1/4 equally among four people, find a common denominator.
1/2 = 2/4
2/4 ÷ 4 = 1/8
1/4 ÷ 4 = 1/16
So, each person got 1/8 carton of orange juice and 1/16 carton of apple juice.
To convert 1/8 and 1/16 back to halves and fourths, we can multiply by 2/2 and 4/4, respectively:
1/8 x 2/2 = 2/16 = 1/8
1/16 x 4/4 = 4/64 = 1/16
Therefore, each friend got 1/6 carton of orange juice (2/8) and 1/12 carton of apple juice (1/16 + 1/16).
Diego is making a trail mix for him and his friends to take with them on a hike next week. He mixes
4
2
6
pounds of nuts,
3
3
6
pounds of raisins, and
2
3
6
pounds of chocolate chips. How many
1
3
pound bags of trail mix can he make?
A.
10
B.
11
C.
12
D.
30
E.
31
C. 12
Explanation:
First, we need to find the total weight of the trail mix:
4 2/6 + 3 3/6 + 2 3/6 = 10 2/6 = 10 1/3
Then, we want to divide this total weight by 1/3:
(10 1/3) ÷ (1/3) = 31
Therefore, Diego can make 31 bags of trail mix.
A pastry chef has a container with
1
4
pound of sprinkles. The chef needs to spread the sprinkles equally among 5 cakes. What fraction of the sprinkles will the chef use on each cake? Which two equations can you use to solve the problem?
A.
1
4
÷
5
=
1
20
B.
5
÷
1
4
=
1
20
C.
1
4
÷
1
5
=
20
D.
1
4
×
1
5
=
1
20
E.
4
×
5
=
20
A. 1/4 ÷ 5 = 1/20 and D. 1/4 × 1/5 = 1/20
Cody says that dividing a unit fraction by a whole number is the same as multiplying the unit fraction by a unit fraction with the whole number as the denominator.
Which of the following supports Cody's reasoning?
A.
1
4
÷
3
=
1
12
and
4
×
3
=
12
B.
1
4
÷
3
=
1
12
and
1
4
×
1
3
=
1
12
C.
1
4
÷
3
=
1
12
and
3
÷
1
4
=
12
D.
3
÷
1
4
=
12
and
3
×
4
=
12
B. 1/4 ÷ 3 = 1/12 and 1/4 × 1/3 = 1/12
Explanation:
Cody's reasoning is that dividing a unit fraction by a whole number is the same as multiplying the unit fraction by a unit fraction with the whole number as the denominator. For example,
1/4 ÷ 3 = 1/4 × 1/3
To simplify this product, we can multiply the numerators and denominators:
1/4 × 1/3 = 1/12
So, 1/4 ÷ 3 = 1/12.
This reasoning is supported by option B, which also shows that 1/4 ÷ 3 = 1/12 and demonstrates the multiplication of unit fractions with the whole number as the denominator.