-3 5/9 + 2 - 4 1/9
A. -5 2/3
B. - 5 4/9
C. - 4 5/9
D. -4 1/3
To solve this problem, we need to convert the mixed numbers to improper fractions and then perform the subtraction.
First, convert -3 5/9 to an improper fraction:
-3 5/9 = (-3 * 9 + 5)/9 = (-27 + 5)/9 = -22/9
Next, convert 4 1/9 to an improper fraction:
4 1/9 = (4 * 9 + 1)/9 = (36 + 1)/9 = 37/9
Now, we can perform the subtraction:
-22/9 + 2 - 37/9 = (-22 + 2 - 37)/9 = -57/9
Simplifying the fraction, we get:
-57/9 = -19/3 = -6 1/3
So the answer is D. -4 1/3.
( -4) - (-7) - 3 + (-2)
A. -4 +7 - 3 + 2
B. -4 - 7 - 3 + 2
C. -4 + 7 - 3 - 2
D. -4 - 7 - 3 - 2
To solve this problem, we simply perform the given subtraction and addition operations:
(-4) - (-7) - 3 + (-2) = -4 + 7 - 3 - 2
Simplifying the expression, we get:
-4 + 7 - 3 - 2 = 3 - 3 - 2 = 0 - 2
Finally, we subtract 2 from 0:
0 - 2 = -2
Therefore, the answer is D. -4 - 7 - 3 - 2.
(47 - 4/5 ) - (1/11 - 16)
A. 62 11/16
B. 63 5/11
C. 62 6/55
D. 63 49/55
To solve this problem, we need to perform the subtraction within the parentheses and then subtract the results.
First, let's simplify the expressions within the parentheses:
47 - 4/5 = (47 * 5 - 4)/5 = (235 - 4)/5 = 231/5
1/11 - 16 = (1 - 11*16)/11 = (1 - 176)/11 = -175/11
Now, we have:
(231/5) - (-175/11)
To subtract fractions, we need a common denominator. The least common multiple of 5 and 11 is 55. Let's convert the fractions:
(231/5) - (-175/11) = (231*11/5*11) - (-175*5/11*5)
= (2541/55) - (-875/55)
= (2541 + 875)/55
= 3416/55
Now, let's simplify this fraction:
3416/55 = 62 6/55
Therefore, the answer is C. 62 6/55.
- 0.3 - (0.6) + 0.5 + (-0.5)
To solve this problem, we need to perform the given addition and subtraction operations:
-0.3 - (0.6) + 0.5 + (-0.5)
First, let's simplify the expression within the parentheses:
-0.3 - (0.6) = -0.3 - 0.6 = -0.9
Now we can substitute this back into the original expression:
-0.9 + 0.5 + (-0.5)
Next, let's perform the addition:
-0.9 + 0.5 = -0.4
Now we have:
-0.4 + (-0.5)
Finally, we subtract 0.5 from -0.4:
-0.4 + (-0.5) = -0.9
Therefore, the answer is -0.9.
-33/10 - (- 45.3 + 35.2) = -33/10 - (?)
To solve this problem, we need to simplify the expression within the parentheses first:
-33/10 - (- 45.3 + 35.2)
Inside the parentheses, we have (- 45.3 + 35.2). Adding these numbers gives us:
-45.3 + 35.2 = -10.1
Now we can substitute this back into the original expression:
-33/10 - (-10.1)
To subtract a negative number, we can change the subtraction to addition and change the sign of the number we are subtracting. This gives us:
-33/10 + 10.1
To add fractions, we need a common denominator. The least common multiple of 10 and 1 is 10. Let's convert the fractions:
-33/10 + 10.1 = (-33*1/10*1) + (10.1*10/1*10)
= -33/10 + 10.1/1
= -33/10 + 101/10
Now we can add the fractions:
-33/10 + 101/10 = (-33 + 101)/10
= 68/10
Simplifying this fraction, we get:
68/10 = 34/5
Therefore, the expression simplifies to -33/10 - (- 45.3 + 35.2) = 34/5.