What is 12 8/15 −7+ 7/15 +15 in simplest fom?
To solve this expression, we can simplify each fraction first.
12 8/15 can be converted to an improper fraction:
12 8/15 = (12 * 15 + 8) / 15 = 188/15
Now we can rewrite the expression as:
188/15 - 7 + 7/15 + 15
Next, we can find a common denominator for all the fractions, which is 15:
(188 - 7*15 + 7 + 15*15) / 15
Simplifying this further:
(188 - 105 + 7 + 225) / 15
(90 + 232) / 15
322 / 15
Therefore, 12 8/15 −7+ 7/15 +15 simplifies to 322/15 in simplest form.
To simplify the expression 12 8/15 −7+ 7/15 +15, follow these steps:
Step 1: Convert mixed numbers to improper fractions:
12 8/15 = (12 × 15 + 8)/15 = 188/15
7/15 = 7/15
Step 2: Add the fractions together:
188/15 − 7/15 + 15 = (188 - 7)/15 + 15 = 181/15 + 15
Step 3: Find a common denominator (15) and add the fractions:
181/15 + 15 = (181 + 15 × 15)/15 = (181 + 225)/15 = 406/15
Step 4: Simplify the fraction if possible:
406/15 cannot be simplified any further.
Therefore, the expression 12 8/15 −7+ 7/15 +15 simplifies to 406/15.