What is 12 8/15 − 7 + 7/15 + 15? Simplify your answer.
wrong
Wrong idiot
It's 21.
To simplify the expression 12 8/15 − 7 + 7/15 + 15, we need to convert all the mixed numbers into improper fractions.
Step 1: Convert 12 8/15 into an improper fraction.
To do this, multiply the whole number (12) by the denominator (15) and add the numerator (8). Then, write the sum over the denominator.
12 × 15 + 8 = 180 + 8 = 188
So, 12 8/15 can be written as the improper fraction 188/15.
Step 2: Rewrite the expression with the improper fraction.
Now the expression becomes:
188/15 - 7 + 7/15 + 15
Step 3: Find a common denominator for the fractions.
The common denominator for 15 and 1 is 15, so we need to convert 188/15 to have a denominator of 15.
Step 4: Convert 188/15 to have a denominator of 15.
To convert 188/15 to have a denominator of 15, multiply the numerator (188) by 1 and the denominator (15) by 1.
188 × 1 = 188
15 × 1 = 15
So, 188/15 stays the same.
Step 5: Rewrite the expression with the common denominator.
Now the expression becomes:
188/15 - 7/1 + 7/15 + 15
Step 6: Combine the fractions with the same denominator.
The fractions 188/15 and 15 already have a different denominator, so we don't need to change them. But we can simplify the fraction 7/1 to just 7 since any number divided by 1 is itself.
So, our simplified expression is:
188/15 - 7 + 7/15 + 15.
To simplify the expression 12 8/15 - 7 + 7/15 + 15, we need to perform addition and subtraction in the correct order. We start by converting the mixed number 12 8/15 to an improper fraction.
To do that, we multiply the whole number (12) by the denominator of the fraction (15) and add the numerator (8). Then we write the result over the denominator.
12 * 15 = 180
180 + 8 = 188
So, 12 8/15 can be written as 188/15.
Now, let's rewrite the expression using the improper fraction:
188/15 - 7 + 7/15 + 15
Next, we need to find a common denominator for all the fractions to make addition and subtraction easier.
The denominators in this expression are 15 and 1. To find a common denominator, we multiply these two numbers: 15 * 1 = 15. Therefore, we can rewrite the expression using the common denominator:
(188/15) - (7*15/15) + (7/15) + (15*15/15)
Simplifying further:
188/15 - 105/15 + 7/15 + 225/15
Now that we have a common denominator, we can combine the fractions by adding/subtracting the numerators while keeping the denominator the same:
(188 - 105 + 7 + 225) / 15
Simplifying the numerator:
(305 + 7 + 225) / 15
(537) / 15
Finally, we have our simplified answer:
537/15
To simplify the expression 12 8/15 - 7 + 7/15 + 15, first convert the mixed number 12 8/15 to an improper fraction:
12 8/15 = (12 * 15 + 8)/15 = 188/15
Now we can rewrite the expression:
188/15 - 7 + 7/15 + 15
Combining the terms with the same denominator:
188/15 + 7/15 + 15
Now we can simplify the fractions and calculate the sum:
(188 + 7) / 15 + 15
= 195/15 + 15
= 13 + 15
= 28
Therefore, 12 8/15 − 7 + 7/15 + 15 simplifies to 28.