What is 8 − 7 1/4? (1 point)

Answer 1

8 − 7 1/4 = 32/4 − 29/4 = 3/4.

Answer 2

What is −4 5/11 − 2 4/11? (1 point)

Answer 3

-4 5/11 − 2 4/11 = -49/11 - 18/11 = -67/11.

Answer 4

What is −6 7/12 − 4 1/3? (1 point)

Answer 5

-6 7/12 can be written as -6 14/24.
-4 1/3 can be written as -4 8/24.

Now we can subtract these two fractions:
-6 14/24 - (-4 8/24) = -6 14/24 + 4 8/24 = -2 6/24 = -2 1/4.

Answer 6

How would you group the following expression to make it easier to add?

18−9 4/9 + 7/9 − 8
(1 point)
Responses

(18 − 9 − 8)+(−4/9+7/9)
(18 − 9 − 8)+(−4/9+7/9)

(8 − 18)+(4/9+7/9)
(8 − 18)+(4/9+7/9)

(18 − 8 − 9)
(18 − 8 − 9)

(18 − 8)−(9 4/9+7/9)

Answer 7

The expression can be grouped as follows to make it easier to add:

(18 − 9 − 8) + (−4/9 + 7/9)

Answer 8

What is 12 8/15 − 7 + 7/15 + 15
in simplest form?(1 point)

Answer 9

To calculate the expression 12 8/15 − 7 + 7/15 + 15, we first convert mixed numbers into improper fractions:

12 8/15 can be written as (12 * 15 + 8)/15 = 188/15
7 can be written as 7/1
7/15 remains the same
15 can be written as 15/1

Now we add the fractions:
188/15 − 7/1 + 7/15 + 15/1

To add the fractions, we need to find a common denominator, which in this case is 15 since it is the least common multiple of 1 and 15:

(188 * 1)/(15 * 1) − (7 * 15)/(1 * 15) + (7 * 1)/(15 * 1) + (15 * 15)/(1 * 15)

188/15 − 105/15 + 7/15 + 225/15

Now we can add the fractions:
(188 − 105 + 7 + 225)/15 = 315/15 = 21

Therefore, the expression simplifies to 21.

Answer 10

JoJo had 1 1/2
cups of sugar. She used 3/4
cup for her cookies. How much does she have left?(1 point)
Responses

Answer 11

To find out how much sugar JoJo has left, we need to subtract the amount she used from the amount she had initially.

JoJo had 1 1/2 cups of sugar, which can be written as (1 * 2 + 1)/2 = 3/2.

She used 3/4 cup of sugar.

To subtract fractions, we need to find a common denominator, which in this case is 2:

(3/2) - (3/4) = (6/4) - (3/4) = 3/4.

So, JoJo has 3/4 cup of sugar left.

Answer 12

JoJo had 1 1/2
cups of sugar. She used 3/4
cup for her cookies. How much does she have left?(1 point)
Responses

2/4
cup
2 fourths cup

1 1/4
cups
1 and 1 fourth cups

2 1/4
cup
2 and 1 fourth cup

3/4
cup

Answer 13

JoJo has 1 1/2 cups of sugar initially and used 3/4 cup for her cookies. To find out how much she has left, we need to subtract the amount she used from the initial amount.

1 1/2 cup can be written as (1 * 2 + 1)/2 = 3/2 cup.

Subtracting 3/4 cup from 3/2 cup, we have:

(3/2) - (3/4) = (6/4) - (3/4) = 3/4 cup.

Therefore, JoJo has 3/4 cup of sugar left.

Answer 14

What is −12−(−6)
?(1 point)
Responses

18
18

-18
-18

6
6

-6
-6

Answer 15

−12−(−6) is equivalent to -12 + 6.

Calculating the expression, we have:

-12 + 6 = -6.

Therefore, the answer is -6.

Answer 16

−1/4 + − 3/5=
(1 point)
Responses

−4/9
negative 4 ninths

−17/20
negative 17 over 20

1/10
1 tenth

17/20
17 over 20

Answer 17

−1/4 + −3/5 can be written as (-1/4) + (-3/5).

To find a common denominator, we multiply the denominators together: 4 * 5 = 20.

(−1/4) + (−3/5) = (-5/20) + (-12/20) = -17/20.

Therefore, the expression simplifies to -17/20.