-1 1/3 + (-4 2/3)=

To solve this equation, we need to convert the mixed numbers to improper fractions.

-1 1/3 is equivalent to -(3/3 + 1/3) = -(4/3)

Similarly, -4 2/3 is equivalent to -(3/3 + 2/3) = -(5/3)

Now we can add the fractions:

-(4/3) + -(5/3) = -9/3

Simplifying the fraction gives us: -3

Therefore, -1 1/3 + (-4 2/3) = -3.

−31/6+53/4=

To add the fractions, we need to find a common denominator.

The least common multiple of 6 and 4 is 12.

Now we can rewrite the fractions with the common denominator of 12:

-31/6 = -31/6 * 2/2 = -62/12

53/4 = 53/4 * 3/3 = 159/12

Now we can add the fractions:

-62/12 + 159/12 = (159 - 62)/12 = 97/12

Therefore, -31/6 + 53/4 = 97/12.

However, we can also simplify the fraction:

97/12 = (8 * 12 + 1)/12 = 8 + 1/12

So, -31/6 + 53/4 can be simplified to 8 1/12.

Add −815+415.(1 point)

Responses

−1215
negative Start Fraction 12 over 15 End Fraction

415
Start Fraction 4 over 15 End Fraction

−415
negative Start Fraction 4 over 15 End Fraction

45

To add -815 and 415, you simply need to add the numbers:

-815 + 415 = -400

Therefore, -815 + 415 equals -400.

Add −815+415.(1 point)

Responses

−1215

415

−415

45

To add -815 and 415, you simply need to add the numbers:

-815 + 415 = -400

Therefore, -815 + 415 equals -400.

-8/15 + 4/15

To add fractions with the same denominator, you simply add their numerators while keeping the denominator the same.

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

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

-1 3/10 + (4 2/15)

To solve this equation, we need to convert the mixed numbers to improper fractions.

-1 3/10 is equivalent to -(10/10 + 3/10) = -(13/10)

Similarly, 4 2/15 is equivalent to (4 * 15 + 2)/15 = (62/15)

Now we can add the fractions:

-(13/10) + (62/15)

To find a common denominator for 10 and 15, we can multiply them together since they have no common factors other than 1.

10 * 15 = 150

Now we can rewrite the fractions with the common denominator of 150:

-(13/10) = -(13/10 * 15/15) = - (195/150)

(62/15) = (62/15 * 10/10) = (620/150)

Now we can add the fractions:

-(195/150) + (620/150) = (620 - 195)/150 = 425/150

However, we can simplify the fraction:

425/150 = (85 * 5)/(30 * 5) = 85/30

Now we can further simplify by dividing both the numerator and denominator by 5:

85/30 = (17 * 5)/(6 * 5) = 17/6

Therefore, -1 3/10 + (4 2/15) = 17/6.

-1 3/10 + (-4 2/15)

First, we need to convert the mixed numbers to improper fractions.

-1 3/10 can be written as -(10/10 + 3/10) = -(13/10)

Similarly, -4 2/15 can be written as (-4 * 15 + 2)/15 = (-58/15)

Now we can add the fractions:

-(13/10) + (-58/15)

To find a common denominator for 10 and 15, we can multiply them together: 10 * 15 = 150.

Now we can rewrite the fractions with the common denominator of 150:

-(13/10) = -(13/10 * 15/15) = -(195/150)

-(58/15) = -(58/15 * 10/10) = -(580/150)

Now we can add the fractions:

-(195/150) + -(580/150) = (-195 - 580)/150 = -775/150

However, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 25:

-775/150 = (-31 * 25)/(6 * 25) = -31/6

Therefore, -1 3/10 + (-4 2/15) = -31/6.