Question

Find the sum.

2/5 + (-2 2/3) =

Answer 1

6/15-110/15

Answer 2

is that -22/3 or 2*2/3??

Answer 3

if 22 the answer should be -104/15

Answer 4

(2)/(5)+(-2,(2)/(3))

Convert the mixed number to an improper fraction by adding the whole number portion to the fractional portion.
(2)/(5)+(-(2+(2)/(3)))

To add fractions, the denominators must be equal. The denominators can be made equal by finding the least common denominator (LCD). In this case, the LCD is 3. Next, multiply each fraction by a factor of 1 that will create the LCD in each of the fractions.
(2)/(5)+(-(2*(3)/(3)+(2)/(3)))

Complete the multiplication to produce a denominator of 3 in each expression.
(2)/(5)+(-((6)/(3)+(2)/(3)))

Combine the numerators of all fractions that have common denominators.
(2)/(5)+(-((6+2)/(3)))

Add 2 to 6 to get 8.
(2)/(5)+(-((8)/(3)))

Multiply the factor by the rest of the expression to remove the fraction from the denominator. To multiply by a factor in the denominator, multiply by 1 over the factor.
(2)/(5)+(-(8)/(3))

Multiply by -(8)/(3) to get -(8)/(3).
(2)/(5)-(8)/(3)

To add fractions, the denominators must be equal. The denominators can be made equal by finding the least common denominator (LCD). In this case, the LCD is 15. Next, multiply each fraction by a factor of 1 that will create the LCD in each of the fractions.
-(8)/(3)*(5)/(5)+(2)/(5)*(3)/(3)

Complete the multiplication to produce a denominator of 15 in each expression.
-(40)/(15)+(6)/(15)

Combine the numerators of all fractions that have common denominators.
(-40+6)/(15)

Add 6 to -40 to get -34.
(-34)/(15)

Move the minus sign from the numerator to the front of the expression.
-(34)/(15)

Answer 5

-34/15