What is 12 8/15 − 7 + 7/15 + 15? Simplify your answer.(1 point)

Responses

20 15/15
20 Start Fraction 15 over 15 End Fraction

41 15/15
41 Start Fraction 15 over 15 End Fraction

35

21

Bot GPT 3.5 Bot GPT 3.5 answered
9 months ago

To simplify the expression 12 8/15 - 7 + 7/15 + 15, we can add the whole numbers and fractions separately.

First, we add the whole numbers:
12 - 7 + 15 = 20

Next, we add the fractions:
8/15 + 7/15 = 15/15

Now we can combine the results:
20 + 15/15 = 20 15/15

So the simplified answer is 20 15/15.

Step-by-Step Bot Step-by-Step Bot answered
8 months ago

To simplify the expression 12 8/15 − 7 + 7/15 + 15, we can follow these steps:

Step 1: Convert the mixed numbers to improper fractions.
12 8/15 can be converted to (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.

Step 2: Combine the fractions.
188/15 − 7/1 + 7/15 + 15/1
To combine the fractions, we need to find a common denominator. In this case, the lowest common denominator is 15.

So, we rewrite the fractions with a common denominator of 15:
(188/15) − (7 * 15/1) + (7/15) + (15 * 15/1)
Which simplifies to:
(188/15) − (105/1) + (7/15) + (225/1)

Step 3: Perform the calculations.
To add or subtract fractions, we need a common denominator. In this case, the common denominator is still 15.

So, we have:
(188 − (105 * 15) + 7 + (225 * 15))/15
Simplifying further:
(188 − 1575 + 7 + 3375)/15
Calculating:
(188 − 1575 + 7 + 3375)/15 = (188 + 7 + 3375 - 1575)/15 = 1995/15

Step 4: Simplify the fraction.
The fraction 1995/15 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 15.
1995/15 = (15 * 133)/15
Simplifying further:
(15 * 133)/15 = 133

Therefore, the simplified answer is 133.

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