Question

(-1 1/3+(-3 1/2))+(-7 2/5+(-9 1/9))

Answer 1

(-11/3-7/2)-37/5-82/9=-22/6-21/6-333/45-410/45=-1/6-77/45=-270/270-462/270=-732/270=-2 192/270

Answer 2

To solve the expression, we need to perform addition and subtraction of the given mixed numbers. Remember to convert all the mixed numbers into improper fractions first.

Step 1: Convert mixed numbers to improper fractions. (-1 1/3) = -(4/3) (-3 1/2) = -(7/2) (-7 2/5) = -(37/5) (-9 1/9) = -(82/9)

Step 2: Perform addition and subtraction. (-1 1/3 + (-3 1/2)) + (-7 2/5 + (-9 1/9))

= (-(4/3) + (-(7/2))) + (-(37/5) + (-(82/9)))

Step 3: Find a common denominator for all the fractions (3, 2, 5, and 9). The common denominator for 3, 2, 5, and 9 is 90.

Step 4: Rewrite each fraction with the common denominator. = (-(4/3 * 30/30) + (-(7/2 * 45/45))) + (-(37/5 * 18/18) + (-(82/9 * 10/10)))

= (-(120/90) + (-(315/90))) + (-(666/90) + (-(820/90)))

Step 5: Perform the addition and subtraction. = (-(435/90)) + (-(1486/90))

Step 6: Combine the fractions. = -(435/90) - (1486/90)

Step 7: Subtract the fractions. = - (435 + 1486) / 90

Step 8: Calculate the result. = -1921/90

Now, if we simplify the result, we get:

= -21 31/90