Add −1 1/3+(−4 2/3). (1 point)

Answer 1

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.

Answer 2

Add −3 1/6+5 3/4. Write your answer as a reduced mixed number.(1 point)
−3 1/6+5 3/4=

Answer 3

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.

Answer 4

Add 13.92+(−22.111).(1 point)

Answer 5

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.

Answer 6

Add −5.11+(−1.56).(1 point)

Answer 7

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.

Answer 8

Add −8 1/5+4 1/5.(1 point)

Answer 9

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.

Answer 10

Add −8/15+4/15.(1 point)

Answer 11

To add these fractions, we simply add the numerators and keep the denominator the same:

-8/15 + 4/15 = (-8 + 4)/15 = -4/15

Therefore, -8/15 + 4/15 = -4/15.

Answer 12

Add −1 3/10 +(−4 2/15).(1 point)

Answer 13

To add these mixed numbers, we first need to convert them into improper fractions.

To convert -1 3/10 into an improper fraction, we multiply the whole number (-1) by the denominator (10) and add the numerator (3). This gives us -13/10.

To convert -4 2/15 into an improper fraction, we multiply the whole number (-4) by the denominator (15) and add the numerator (2). This gives us -62/15.

Now that we have both numbers as improper fractions, we can add them together:

-13/10 + (-62/15)

To add these fractions, we need to find a common denominator. The least common multiple of 10 and 15 is 30.

We can convert -13/10 into -39/30 by multiplying the numerator and denominator by 3.

We can convert -62/15 into -124/30 by multiplying the numerator and denominator by 2.

Now, the expression becomes:

-39/30 + (-124/30).

Adding these fractions together, we get:

(-39 + -124)/30 = -163/30.

To convert it back into a mixed number, we divide the numerator (163) by the denominator (30) and write the remainder as a fraction.

163 ÷ 30 = 5 remainder 13.

Therefore, the answer is -5 13/30.

Answer 14

Add −1.2+7.6.(1 point)

Answer 15

To add these decimal numbers, we simply line up the decimal points and add the numbers:

-1.2 + 7.6

When we add these numbers, we get:

7.6
-1.2
________
6.4

Therefore, -1.2 + 7.6 equals 6.4.

Answer 16

Add −4.85+(−2.54).(1 poin

Answer 17

To add these decimal numbers, we line up the decimal points and add the numbers:

-4.85 +
-2.54
_______

When we add the numbers, we get:

-4.85
-2.54
_______
-7.39

Therefore, -4.85 + (-2.54) equals -7.39.

Answer 18

Add 4.6+(−9.04).(1 point)

Answer 19

To add these decimal numbers, we line up the decimal points and add the numbers:

4.60 +
-9.04
_______

When we add the numbers, we get:

4.60
-9.04
_______
-4.44

Therefore, 4.6 + (-9.04) equals -4.44.

Answer 20

A scuba diver is 75 feet below sea level. She then ascends 12.7 feet. What is the current depth of the scuba diver?(1 point)

Answer 21

To find the current depth of the scuba diver, we need to subtract the ascent of 12.7 feet from the initial depth of 75 feet below sea level.

75 ft - 12.7 ft = 62.3 ft

Therefore, the current depth of the scuba diver is 62.3 feet below sea level.