Add −12/7+(3/14). Write your answer as a reduced improper fraction.
To add these fractions, we need a common denominator. The least common multiple of 7 and 14 is 14.
We can write the first fraction, −12/7, with a denominator of 14 by multiplying the numerator and denominator by 2: (-12/7) * (2/2) = -24/14.
Now we can add the fractions: -24/14 + 3/14 = (-24 + 3)/14 = -21/14.
The answer as a reduced improper fraction is -21/14.
its says its wrong
Apologies for the mistake. Let's solve the problem correctly.
To add −12/7 + 3/14, we need a common denominator. Since 7 is already a factor of 14, we can use 14 as the common denominator.
−12/7 is already equivalent to -24/14, so we can write the original expression as:
-24/14 + 3/14 = (-24 + 3)/14 = -21/14
Therefore, the correct answer as a reduced improper fraction is -21/14.
Add −316+534. Write your answer as a reduced mixed number.
To add -316 and 534, we simply add the numbers together:
-316 + 534 = 218
The sum is 218. Since this is a positive number, we can write it as a reduced mixed number by dividing:
218 ÷ 100 = 2 with a remainder of 18.
Therefore, the answer as a reduced mixed number is 2 18/100. However, we can simplify this fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 2:
2 18/100 = 2 9/50
Therefore, the final answer as a reduced mixed number is 2 9/50.
Add −3 1/6+5 3/
4. Write your answer as a reduced mixed number.
To add -3 1/6 and 5 3/4, we need to find a common denominator. The denominator for 6 and 4 is 24, so we can rewrite the fractions with denominators of 24.
-3 1/6 can be expressed as -19/6 as an improper fraction. Multiplying the whole number, which is -3, by the denominator and adding the numerator, we get -19. The denominator remains the same.
5 3/4 can be expressed as 23/4 as an improper fraction. Multiplying the whole number, which is 5, by the denominator and adding the numerator, we get 23. The denominator remains the same.
Now we can add the fractions: (-19/6) + (23/4) = (-19/6) * (4/4) + (23/4) * (6/6) = (-76/24) + (138/24) = 62/24.
Since 62 is divisible by 2 and 24 is divisible by 2 as well, we can reduce the fraction further: (62/2) / (24/2) = 31/12.
Now we can rewrite the answer as a mixed number. The whole number part is obtained by dividing the numerator by the denominator: 31 ÷ 12 = 2 with a remainder of 7.
Therefore, the reduced mixed number is 2 7/12.
Add 13.92+(−22.111).
To add 13.92 and -22.111, we simply add the numbers together:
13.92 + (-22.111) = -8.191
The sum is -8.191.