What is 8 − 7 1/4? (1 point)
8 − 7 1/4 = 32/4 − 29/4 = 3/4.
What is −4 5/11 − 2 4/11? (1 point)
-4 5/11 − 2 4/11 = -49/11 - 18/11 = -67/11.
What is −6 7/12 − 4 1/3? (1 point)
-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.
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)
The expression can be grouped as follows to make it easier to add:
(18 − 9 − 8) + (−4/9 + 7/9)
What is 12 8/15 − 7 + 7/15 + 15
in simplest form?(1 point)
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.
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