Add −12/7+(3/14). Write your answer as a reduced improper fraction
Add −113+(−42
Add −316+534. Write your answer as a reduced mixed number.
Add 13.92+(−22.111
Add −5.11+(−1.56).
-3/2
-6
2 7/12
-8.191
-6.67
To add -12/7 + 3/14, we need to find a common denominator. The least common multiple (LCM) of 7 and 14 is 14.
Converting -12/7 to an equivalent fraction with a denominator of 14, we get -24/14.
Now, we can add the fractions:
-24/14 + 3/14 = (-24 + 3)/14 = -21/14.
To write the answer as a reduced improper fraction, we can simplify it:
-21/14 = -3/2.
Therefore, -12/7 + 3/14 = -3/2.
To add -113 + (-42), simply add the two numbers together:
-113 + (-42) = -155.
Therefore, -113 + (-42) = -155.
To add -316 + 534, we can ignore the signs for now and add the numbers:
316 + 534 = 850.
Next, we need to determine the final sign. Since -316 is negative and 534 is positive, the resulting number will be positive.
Therefore, the answer is 850.
To write the answer as a reduced mixed number, we divide 850 by the denominator (which is 1):
850/1 = 850.
Since the denominator is 1, we can rewrite this as a mixed number by dividing 850 by the denominator:
850 ÷ 1 = 850.
Therefore, -316 + 534 = 850.
To add 13.92 + (-22.111), we simply add the two numbers:
13.92 + (-22.111) = -8.191.
Therefore, 13.92 + (-22.111) = -8.191.
To add -5.11 + (-1.56), we simply add the two numbers:
-5.11 + (-1.56) = -6.67.
Therefore, -5.11 + (-1.56) = -6.67.
To add fractions, follow these steps:
1. Find a common denominator: The denominator of 7 in the first fraction and the denominator of 14 in the second fraction have a common multiple of 14. So, rewrite the fractions with a common denominator:
-12/7 + 3/14 = -24/14 + 3/14
2. Add the numerators: Since the denominators are the same, you can directly add the numerators:
-24/14 + 3/14 = (-24 + 3)/14 = -21/14
3. Simplify the fraction: In order to reduce the fraction, find the greatest common divisor (GCD) of the numerator and denominator, and divide both by that number:
GCD of 21 and 14 is 7. Divide both the numerator and denominator by 7:
-21/14 = (-21 ÷ 7)/(14 ÷ 7) = -3/2
So, the sum -12/7 + 3/14 is -3/2 as a reduced improper fraction.
To add integers, simply add the numbers:
-113 + (-42) = -155
To add mixed numbers, follow these steps:
1. Add the whole numbers: Add the whole numbers together:
-316 + 534 = 218
2. Add the fractions: Add the fractions together. Since 316 is negative, borrow 1 from the whole number part:
1 - (316/1) + (534/1) = 1 - 316/1 + 534/1
3. Simplify the fractions: Subtract the numerators and keep the same denominator:
1 - 316/1 + 534/1 = 1 - 316 + 534/1 = 1 + 218/1
4. Rewrite as a mixed number: The resulting fraction can be written as a reduced mixed number by dividing the numerator by the denominator:
1 + 218/1 = 1 + 218 = 219
So, the sum -316 + 534 is written as a reduced mixed number as 219.
To add decimal numbers, simply add the numbers:
13.92 + (-22.111) = -8.191
Similarly, to add decimal numbers, simply add the numbers:
-5.11 + (-1.56) = -6.67
So, the sums of these expressions are:
1. -3/2
2. -155
3. 219
4. -8.191
5. -6.67