Add −12/7+(3/14). Write your answer as a reduced improper fraction.(1 point)
−12/7+(3/14)=
To add fractions, the denominators must be the same.
To find a common denominator, we need to find the least common multiple of 7 and 14, which is 14.
So the first fraction, -12/7, can be rewritten as -24/14.
Now we can add the fractions:
-24/14 + 3/14 = -21/14
The answer, as a reduced improper fraction, is -21/14.
no its not
Add −1 1/3+(−4 2/3). (1 point)
−1 13+(−4 2/3)=
To add mixed numbers, we need to convert them into improper fractions.
Let's convert -1 1/3 and -4 2/3 into improper fractions:
-1 1/3 = -(3/3 + 1/3) = -4/3
-4 2/3 = -(3/3 + 2/3) = -5/3
Now we can add the fractions:
-4/3 + (-5/3) = (-4 - 5)/3 = -9/3
To reduce the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3:
-9/3 = -3/1 = -3
The answer, as a reduced improper fraction, is -3.
To add these fractions, we need to find a common denominator. The common denominator of 7 and 14 is 14.
To make the denominators the same, we need to multiply the first fraction by 2/2 and the second fraction by 1/1.
Converting the fractions, we have:
-12/7 + (3/14) = -24/14 + 3/14
Now that the denominators are the same, we can add the numerators:
-24/14 + 3/14 = (-24 + 3)/14 = -21/14
Simplifying, we can divide both the numerator and the denominator by their greatest common factor, which is 7.
-21/14 ÷ 7/7 = -3/2
Therefore, -12/7 + 3/14 = -3/2.
To add fractions, you need a common denominator. In this case, the common denominator can be found by finding the least common multiple (LCM) of the denominators, which are 7 and 14. The LCM of 7 and 14 is 14.
Now, you can rewrite the fractions with the common denominator:
-12/7 = -((12/7) * (2/2)) = -24/14
3/14 = 3/14
So, the expression −12/7 + 3/14 can be written as -24/14 + 3/14.
Now, add the numerators and keep the common denominator:
(-24 + 3)/14 = -21/14
The final answer, written as a reduced improper fraction, is -21/14.
I apologize for the mistake. Let's redo the calculation correctly.
To add fractions, the denominators must be the same.
The denominators of -12/7 and 3/14 are 7 and 14 respectively. To find a common denominator, we can take the least common multiple of 7 and 14, which is 14.
Now, let's convert -12/7 to have a denominator of 14:
-12/7 = -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.