12 8/15 -7+ 7/15
To solve this equation, we need to first add the whole numbers (12 and -7), then add the fractions (8/15 and 7/15):
12 + (-7) = 5
8/15 + 7/15 = (8 + 7) / 15 = 15/15 = 1
So, the solution is 5 + 1 = 6.
To solve the expression 12 8/15 - 7 + 7/15, follow these steps:
Step 1: Convert the mixed number 12 8/15 into an improper fraction.
- Multiply the whole number (12) by the denominator of the fraction (15) and add the numerator (8).
- The numerator becomes 12 * 15 + 8 = 180 + 8 = 188.
- The denominator remains the same, which is 15.
- So, 12 8/15 can be written as the improper fraction 188/15.
Step 2: Now that both numbers are in fractional form, combine the fractions.
- Subtract the fractions (188/15) - (7/15).
- Since the denominators are the same, we can subtract the numerators directly.
- 188/15 - 7/15 = (188 - 7) / 15 = 181/15.
Step 3: Finally, perform the remaining addition and subtraction.
- Subtract 7 from 181/15.
- (181/15) - 7 = 181/15 - (7 * 15)/15 = 181/15 - 105/15 = (181 - 105) / 15 = 76/15.
Therefore, 12 8/15 - 7 + 7/15 equals 76/15.
To calculate the expression 12 8/15 - 7 + 7/15, follow these steps:
Step 1: Convert mixed numbers to improper fractions.
12 8/15 can be written as (12 * 15 + 8)/15 = 188/15.
Step 2: Perform the subtraction of fractions.
188/15 - 7 + 7/15
Step 3: Find a common denominator.
Since the denominators are already the same (both 15), you can skip this step.
Step 4: Perform the subtraction.
188/15 - 7/1 + 7/15
To subtract fractions, the denominators must be the same. Multiply the fraction on the left side (188/15) by 1 in the form of 15/15, and the fraction on the right side (7/1) by 15/15:
(188/15) * (15/15) - (7/1) * (15/15) + 7/15
Step 5: Simplify.
188/15 - 105/15 + 7/15
Now that the denominators are the same, you can subtract the numerators:
(188 - 105 + 7)/15
Step 6: Calculate the numerator.
188 - 105 + 7 = 90
So, the expression becomes:
90/15
Step 7: Simplify further if needed.
The numerator (90) and the denominator (15) share a common factor of 15. By dividing both the numerator and denominator by 15, you can simplify the fraction:
90/15 = (90 ÷ 15) / (15 ÷ 15) = 6/1 = 6
Therefore, the value of the expression 12 8/15 - 7 + 7/15 is 6.