what is 12 8/15 - 7 + 7/15 + 15 simplify
To simplify the expression 12 8/15 - 7 + 7/15 + 15, we need to convert all the mixed numbers to improper fractions and then add or subtract them.
First, let's convert the mixed number 12 8/15 to an improper fraction.
12 + 8/15 = (12 * 15 + 8)/15 = 184/15
Now we can rewrite the expression:
184/15 - 7 + 7/15 + 15
Next, let's convert the mixed number 15 to an improper fraction.
15 = (15 * 1)/1 = 15/1
Now the expression becomes:
184/15 - 7 + 7/15 + 15/1
To add or subtract fractions, we need to find a common denominator. In this case, the smallest common denominator is 15.
Now, let's rewrite the fractions with a common denominator:
(184 - 7 * 15 + 7 + 15 * 15) / 15
Simplifying further:
(184 - 105 + 7 + 225) / 15
(86 + 232) / 15
318 / 15
Lastly, we can simplify the fraction:
318 ÷ 15
The simplified form is 21 3/15, which can be further reduced to 21 1/5.
Therefore, 12 8/15 - 7 + 7/15 + 15 simplifies to 21 1/5.
To simplify the expression 12 8/15 - 7 + 7/15 + 15, follow these steps:
Step 1: Convert the 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.
Step 2: Combine the fractions that have the same denominator.
188/15 - 7/1 + 7/15 + 15/1
Step 3: Find a common denominator for all the fractions, which is 15.
188/15 - (7/1 * 15/15) + 7/15 + (15/1 * 15/15)
= 188/15 - 105/15 + 7/15 + 225/15
Step 4: Combine the fractions with the same denominator.
(188 - 105 + 7 + 225)/15
= 315/15
Step 5: Simplify the fraction, if possible.
The fraction 315/15 can be reduced to its simplest form by dividing both the numerator and denominator by their greatest common divisor, which is 15.
315/15 = (15 * 21) / (15 * 1) = 21/1 = 21.
Therefore, the simplified form of 12 8/15 - 7 + 7/15 + 15 is 21.