Add −8/15 + 415.
Responses
Start Fraction 4 over 15 End Fraction
negative Start Fraction 12 over 15 End Fraction
Start Fraction 4 over 5 End Fraction
negative Start Fraction 4 over 15 End Fraction
To find the sum of -8/15 and 415, we can write it as a fraction with a common denominator.
Starting with -8/15, we can rewrite 415 as a fraction in terms of fifteenths. Since 15 goes into 415 exactly 27 times with no remainder, we have 415 = 27 * 15/15.
Adding -8/15 and 415/15, we get:
-8/15 + 27 * 15/15.
Simplifying the expression, we have:
(27 * 15 - 8) / 15.
Calculating the numerator:
27 * 15 - 8 = 405 - 8 = 397.
So the sum is 397/15.
Answer: Start Fraction 397 over 15 End Fraction.
To add -8/15 and 415, follow these steps:
Step 1: Combine the whole numbers: 0 + 415 = 415.
Step 2: Since the denominators are different (15 and 1), we need to find a common denominator.
Step 3: Multiply the numerator and denominator of -8/15 by 1 to get a denominator of 15. This gives us -8/15.
Step 4: Now we can add the fractions: -8/15 + 415/1 = (-8 + 415)/15.
Step 5: Simplify the numerator: -8 + 415 = 407.
Step 6: The result is 407/15.
Therefore, the sum of -8/15 and 415 is 407/15.