Add −1 1/3+(−4 2/3). (1 point)
To add these mixed numbers, we first need to convert them into improper fractions.
To convert -1 1/3 into an improper fraction, we multiply the whole number (-1) by the denominator (3) and add the numerator (1). This gives us -4/3.
To convert -4 2/3 into an improper fraction, we multiply the whole number (-4) by the denominator (3) and add the numerator (2). This gives us -14/3.
Now that we have both numbers as improper fractions, we can add them together:
-4/3 + (-14/3) = (-4 - 14)/3 = -18/3
Simplifying the fraction, we can divide both the numerator and denominator by their greatest common divisor (which is 3):
-18/3 = -6/1 = -6
Therefore, -1 1/3 + (-4 2/3) = -6.
Add −3 1/6+5 3/4. Write your answer as a reduced mixed number.(1 point)
−3 1/6+5 3/4=
To add these mixed numbers, we first need to convert them into improper fractions.
To convert -3 1/6 into an improper fraction, we multiply the whole number (-3) by the denominator (6) and add the numerator (1). This gives us -19/6.
To convert 5 3/4 into an improper fraction, we multiply the whole number (5) by the denominator (4) and add the numerator (3). This gives us 23/4.
Now that we have both numbers as improper fractions, we can add them together:
-19/6 + 23/4.
To add these fractions, we need to find a common denominator. The least common multiple of 6 and 4 is 12.
We can convert -19/6 into -38/12 by multiplying the numerator and denominator by 2.
We can convert 23/4 into 69/12 by multiplying the numerator and denominator by 3.
Now, the expression becomes:
-38/12 + 69/12.
Adding these fractions together, we get:
(-38 + 69)/12 = 31/12.
To convert it back into a mixed number, we divide the numerator (31) by the denominator (12) and write the remainder as a fraction.
31 ÷ 12 = 2 remainder 7.
Therefore, the answer is 2 7/12.
Add 13.92+(−22.111).(1 point)
To add these decimal numbers, we line up the decimal points and add the numbers:
13.920 +
-22.111
_________
First, we ensure that both numbers have the same number of decimal places. In this case, we can see that 13.920 already has three decimal places, so we don't need to make any adjustments. We can proceed to the addition:
13.920 +
-22.111
_______
When we add the numbers, we get:
13.920
-22.111
_______
-8.191
Therefore, 13.92 + (-22.111) equals -8.191.
Add −5.11+(−1.56).(1 point)
To add these decimal numbers, we line up the decimal points and add the numbers:
-5.11 +
-1.56
_______
When we add the numbers, we get:
-5.11
-1.56
______
-6.67
Therefore, -5.11 + (-1.56) equals -6.67.
Add −8 1/5+4 1/5.(1 point)
To add these mixed numbers, we first need to convert them into improper fractions.
To convert -8 1/5 into an improper fraction, we multiply the whole number (-8) by the denominator (5) and add the numerator (1). This gives us -41/5.
To convert 4 1/5 into an improper fraction, we multiply the whole number (4) by the denominator (5) and add the numerator (1). This gives us 21/5.
Now that we have both numbers as improper fractions, we can add them together:
-41/5 + 21/5 = (-41 + 21)/5 = -20/5
Simplifying the fraction, we can divide both the numerator and denominator by their greatest common divisor (which is 5):
-20/5 = -4/1 = -4
Therefore, -8 1/5 + 4 1/5 = -4.