what is 12 8/15 - 7 + 7/15 + 15? simplify your answer.

answers:
A 21
B 35
C 41 15/15
D 20 15/15

9 answers

To simplify the expression 12 8/15 - 7 + 7/15 + 15, we can start by converting all mixed numbers to improper fractions.

12 8/15 is equivalent to (12 * 15 + 8)/15 = 188/15
7 is equivalent to 7/1
7/15 stays the same
15 is equivalent to 15/1

Now, we can rewrite the expression:
188/15 - 7/1 + 7/15 + 15/1

Next, let's find a common denominator, which is 15:
(188 * 1)/15 - (7 * 15)/15 + (7 * 1)/15 + (15 * 15)/15

Simplifying further:
188/15 - 105/15 + 7/15 + 225/15

Now, we can combine all the fractions:
(188 - 105 + 7 + 225)/15

Simplifying the numerator:
(196 + 225)/15 = 421/15

Therefore, the simplified expression is 421/15, which is equivalent to 41 6/15.

So, the answer is C. 41 15/15.
how should you group the following expression to make it easiest to add? 18 - 9 4/9 + 7/9 - 8
answers:
A (18 - 8) + (-9 4/9 + 7/9)
B (18 - 8 - 9)
C (18 - 9 - 8) + (-4/9 + 7/9)
D (8 - 18) + (4/9 + 7/9)
To group the expression 18 - 9 4/9 + 7/9 - 8 in a way that makes it easiest to add, we should combine like terms.

Let's look at the options given:

A) (18 - 8) + (-9 4/9 + 7/9)
B) (18 - 8 - 9)
C) (18 - 9 - 8) + (-4/9 + 7/9)
D) (8 - 18) + (4/9 + 7/9)

Option A groups the subtraction of 8 and the addition of fractions first, but it leaves the subtraction of -9 4/9 separated, which may complicate the process.

Option B groups the subtraction of 8 and -9 first, which is reasonable, but it leaves the addition of fractions separated.

Option C groups the subtraction of 9 and 8 first, and then combines the addition of fractions, making it easier to simplify.

Option D groups the subtraction of 8 and 18 first, which is reasonable, but it leaves the addition of fractions separated.

Therefore, the best option to group the expression to make it easiest to add is C) (18 - 9 - 8) + (-4/9 + 7/9).
What should you do if a place value is missing a number?(1 point)
Responses

Add a zero.
Add a zero.

Nothing.
Nothing.

Remove the last digit(s) in the number that has the additional place values.
Remove the last digit(s) in the number that has the additional place values.

Subtract without it.
Subtract without it.
Add a zero.
hat is −18.1−5?(1 point)
Responses

13.1
13.1

−13.1
negative 13.1

−23.1
negative 23.1

23.1
The correct answer is -23.1
What is −189.987−30.87?(1 point)
Responses

220.857
220.857

−220.857
negative 220.87

−159.117
negative 159.117

159.117
The correct answer is -220.857.