What is 12 8/15 − 7 + 7 15 + 15? Simplify your answer.
To simplify this expression, we need to perform addition and subtraction in the correct order.
First, let's add the mixed numbers:
7 15/15 + 15 = 7 30/15 + 15 = 8 2/15
Next, we add the whole numbers:
12 + 8 = 20
Now, let's put it all together:
20 2/15 - 7 + 8 2/15
Since the fractions have the same denominator, we can combine them:
20 + 8 + 2/15 - 7
Simplifying further, we get:
28 + 2/15 - 7
Now, let's find a common denominator for the fractions:
28 + 2/15 - 7 = 28 - 7 + 2/15
Continuing to simplify, we get:
21 + 2/15
Therefore, the simplified answer is 21 2/15.
What is 12 8/15 − 7 + 7/15 + 15? Simplify your answer.
To simplify the expression, we first add the mixed numbers:
12 + 7 = 19
Now, we add the fractions:
8/15 + 7/15 = (8 + 7)/15 = 15/15 = 1
Lastly, we add 1 and 15:
19 + 1 + 15 = 35
Therefore, the simplified answer is 35.
To simplify 12 8/15 − 7 + 7 15 + 15, we need to convert the mixed numbers into improper fractions. Here are the steps:
Step 1: Convert the mixed numbers into improper fractions:
12 8/15 = (12 * 15 + 8) / 15 = 188/15
7 15/1 = (7 * 1 + 15) / 1 = 22/1
Step 2: Perform the operations with the fractions:
188/15 − 7 + 22/1 + 15
Step 3: Find a common denominator for 15 and 1, which is 15 since both denominators are divisible by 15.
Step 4: Rewrite the fractions using the common denominator:
(188/15) − (7 * 15/15) + (22 * 15/15) + (15 * 15/15)
Step 5: Simplify each fraction:
188/15 − 105/15 + 330/15 + 225/15
Step 6: Combine the numerators while keeping the common denominator:
(188 − 105 + 330 + 225)/15
Step 7: Add the numerators:
(638)/15
Step 8: Simplify the fraction:
(638 ÷ 2)/(15 ÷ 2) = 319/7
Therefore, the simplified answer is 319/7.
To simplify the expression 12 8/15 − 7 + 7 15 + 15, we need to start by converting the mixed numbers into improper fractions.
The first mixed number, 12 8/15, can be written as an improper fraction by multiplying the whole number, 12, by the denominator, adding the numerator, and placing it over the denominator.
12 * 15 = 180
180 + 8 = 188
So, 12 8/15 can be written as the improper fraction 188/15.
The second mixed number, 7 15, can be converted in the same way.
7 * 15 = 105
105 + 15 = 120
Therefore, 7 15 is equal to the improper fraction 120/15.
Now, we can simplify the expression:
188/15 - 7 + 120/15 + 15
To add or subtract fractions, we need to have a common denominator. In this case, the common denominator is 15.
188/15 - 7 can be written as (188 - 7*15)/15
188 - (7*15) = 188 - 105 = 83
So, (188/15 - 7) becomes 83/15.
Now we can add the fractions:
83/15 + 120/15 + 15/1
To add fractions with the same denominator, we simply add the numerators and keep the denominator unchanged.
83/15 + 120/15 = (83 + 120)/15 = 203/15
Finally, we add the whole number, 15, to the fraction and simplify:
203/15 + 15/1 = (203/15) + (225/15) = 428/15
Therefore, the simplified answer is 428/15.