What is 12 8/15 − 7 + 7 1/5 + 15? Simplify your answer.

Answer 1

To simplify the expression 12 8/15 − 7 + 7 1/5 + 15, we first need to add the whole numbers together and then add the fractions together separately.

12 + 7 = 19

Next, let's add the fractions:
8/15 + 1/5 = (8 + 1)/15 = 9/15

Finally, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3.

9/15 = (9 ÷ 3)/(15 ÷ 3) = 3/5

Now, we can rewrite the expression:

19 + 3/5 + 15

To add fractions, we need to find a common denominator. The common denominator of 5 and 1 is 5.

19 + 3/5 + 15 = 19 + 3/5 + 75/5

Now that the fractions have the same denominator, we can add them:

19 + 3/5 + 75/5 = 19 + (3 + 75)/5 = 19 + 78/5

To add fractions, we need to once again find a common denominator, which this time will be 5.

19 + 78/5 = (19 × 5)/5 + 78/5 = 95/5 + 78/5 = 173/5

Therefore, 12 8/15 − 7 + 7 1/5 + 15 simplifies to 173/5.

Answer 2

How should you group the following expression to make it easiest to add? 18 − 9 4/9 + 7/9 − 8(1 point)

Answer 3

To make it easiest to add the given expression 18 − 9 4/9 + 7/9 − 8, it is best to group the terms with like terms together. In this case, we have whole numbers, mixed numbers, and fractions.

Let's first group the whole numbers together:
18 - 8

Now let's focus on the mixed numbers:
-9 4/9 + 7/9

Finally, we have the fraction without a whole number:
-9 4/9 + 7/9

Thus, the expression can be grouped as:
18 - 8 - 9 4/9 + 7/9.