What is 12 8/15 − 7 + 7/15 + 15 ? Simplify your answer
To simplify the expression 12 8/15 - 7 + 7/15 + 15, we need to convert the mixed numbers into improper fractions.
12 8/15 can be written as (12 * 15 + 8)/15 = 188/15.
Similarly, 7 can be written as 7/1, and 15 as 15/1.
Then, the expression becomes:
188/15 - 7/1 + 7/15 + 15/1
Next, we find a common denominator among the fractions, which is 15.
188/15 - 7/1 + 7/15 + 15/1 can be written as:
(188 - 7*15 + 7 + 15*15)/15
Simplifying the numerator further:
(188 - 105 + 7 + 225)/15 = (90 + 232)/15 = 322/15
Therefore, the simplified answer is 322/15.
my answers are;
21
20 15/15
41 15/15
35
Apologies for the mistake in the previous response.
Let's simplify the expression correctly.
To start, we simplify 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
To add or subtract fractions, we need a common denominator among all the fractions. In this case, the common denominator is 15.
Rewriting the expression with a common denominator:
(188 - 7*15 + 7 + 15*15)/15 = (188 - 105 + 7 + 225)/15 = 315/15
Finally, we simplify the fraction:
315/15 = 21
Therefore, the simplified answer is 21.
To simplify the expression 12 8/15 − 7 + 7/15 + 15, we can follow these steps:
Step 1: Convert the mixed number 12 8/15 to an improper fraction.
To do this, multiply the whole number (12) by the denominator (15), then add the numerator (8). The result is the numerator of the improper fraction.
12 * 15 = 180
180 + 8 = 188
So, 12 8/15 = 188/15.
Step 2: Rewrite the expression with the improper fraction.
The expression becomes:
188/15 - 7 + 7/15 + 15
Step 3: Find a common denominator for the fractions.
In this case, the common denominator is 15, so there is no need to change anything.
Step 4: Combine the fractions with the same denominator.
188/15 - 7 + 7/15 + 15 = (188 + 7)/15 + 7/15 + 15
Step 5: Add or subtract the numerators and keep the common denominator.
(188 + 7)/15 + 7/15 + 15 = 195/15 + 7/15 + 15
Step 6: Add or subtract the fractions.
To add fractions, they need to have the same denominator. In this case, they already have a common denominator of 15, so we can directly add the numerators.
195/15 + 7/15 + 15 = (195 + 7)/15 + 15 = 202/15 + 15
Step 7: Simplify the sum of the fractions.
202/15 + 15 can be converted to an improper fraction by multiplying the whole number (15) by the denominator (15) and adding the numerator (1) to obtain 226/15.
So, the simplified answer is 226/15.
To simplify the expression 12 8/15 - 7 + 7/15 + 15, we need to convert all the mixed numbers into improper fractions.
To convert the mixed number 12 8/15 into an improper fraction, we multiply the whole number 12 by the denominator 15 and then add the numerator 8. This gives us (12 * 15 + 8)/15 = 188/15.
So now the expression becomes:
188/15 - 7 + 7/15 + 15.
Next, we need to find a common denominator for the fractions. The least common multiple (LCM) of 15 and the denominator 1 is 15.
So, we rewrite the expression with a common denominator of 15:
(188/15) - (7 * 15/15) + (7/15) + (15 * 15/15)
Simplifying further:
188/15 - 105/15 + 7/15 + 225/15
Now, we can add or subtract the fractions:
(188 - 105 + 7 + 225)/15
Simplifying the numerator:
(290)/15
Finally, we divide the numerator by the denominator:
290/15 = 58/3.
So, the simplified answer to the expression 12 8/15 - 7 + 7/15 + 15 is 58/3.