- 3 5/9 + 2 - 4 1/9
To solve this expression, we need to simplify each whole number and fraction separately, and then perform the operations.
Whole number simplification:
- 3 = -3
+ 2 = 2
Fraction simplification:
5/9 cannot be simplified further.
4 + 1 = 5
9 remains the same.
Now, let's perform the operations:
-3 + 2 - 5/9 - 5/9
Combining the whole numbers:
-3 + 2 = -1
Combining the fractions:
5/9 - 5/9 = 0
Therefore, the expression - 3 5/9 + 2 - 4 1/9 simplifies to -1.
wrong your choices are \
-5 2/3
-5 4/9
-4 5/9
-4 1/3
Apologies for the mistake. Let's solve the expression correctly:
To simplify the given expression, we need to find a common denominator for the fractions and perform the operations.
First, let's simplify each whole number and fraction separately:
-3 can be considered as -3/1
2 remains the same
Now, let's find the common denominator for the fractions, which is 9:
5/9 remains the same
4 1/9 can be converted to an improper fraction as (4 * 9 + 1)/9 = 37/9
Now, let's perform the operations:
-3/1 + 2 - 5/9 - 37/9
Combining the whole numbers and fractions:
-3/1 + 2 = -3/1 + 2/1 = -1/1 = -1
-5/9 - 37/9 = (-5 - 37)/9 = -42/9 = -14/3
Now, let's combine the remaining fractions:
-1 - 14/3 = (-1 * 3 - 14)/3 = (-3 - 14)/3 = -17/3
Therefore, the correct result of the expression - 3 5/9 + 2 - 4 1/9 is -17/3, which can also be written as -5 2/3.
Which expression is equivalent to the expression below? (-4) - (-7) - 3 + (-2)
1. -4 + 7 - 3 + 2
2. -4 - 7 - 3 + 2
3. -4 + 7 - 3 - 2
4. -4 - 7 - 3 - 2
To simplify the given expression, we need to perform the operation inside the parentheses first, and then solve the remaining expression.
(-4) - (-7) - 3 + (-2)
The double negatives (-4) - (-7) can be simplified as the addition of the opposite:
(-4) + 7 = 3
Therefore, the expression becomes:
3 - 3 + (-2)
Adding and subtracting like terms:
3 - 3 = 0
Therefore, the final expression is:
0 + (-2) = -2
So, the correct choice is:
4. -4 - 7 - 3 - 2
use properties of rational number to simplify the expression. (-47 - 4/5) - 1/11 - 16)
To simplify the given expression, we can use the properties of rational numbers:
(-47 - 4/5) - 1/11 - 16
Step 1: Combine the whole numbers:
-47 - 16 = -63
Step 2: Combine the fractions:
No further simplification can be done with the given fractions.
Now, let's perform the subtraction:
(-63 - 4/5) - 1/11
To subtract fractions, we need to find a common denominator.
The common denominator for 5 and 11 is 55.
(-63 * 55/55 - 4/5 * 11/11) - 1/11 * 5/5
Simplifying the fractions:
(-3465/55 - 44/55) - 5/55
Combining the fractions:
(-3465 - 44)/55 - 5/55
Simplifying the numerator:
-3509/55 - 5/55
Combining the fractions:
(-3509 - 5)/55
Simplifying the numerator:
-3514/55
Therefore, the simplified expression is -3514/55.
se properties of rational number to simplify the expression. (-47 - 4/5) - (1/11 - 16)
To simplify the given expression, we can use the properties of rational numbers:
(-47 - 4/5) - (1/11 - 16)
Step 1: Combine the whole numbers:
-47 - 16 = -63
Step 2: Combine the fractions:
No further simplification can be done with the given fractions (-4/5 and 1/11).
Now let's perform the subtraction:
(-63 - 4/5) - (1/11 - 16)
To simplify the expression further, we need to distribute the negative sign inside the second pair of parentheses:
(-63 - 4/5) - (1/11) + 16
Now we can perform the subtraction and addition:
-63 - 4/5 - 1/11 + 16
To subtract fractions, we need to find a common denominator. The common denominator for 5 and 11 is 55.
(-63 * 55/55 - 4/5 * 11/11) - 1/11 * 5/5 + 16
Simplifying the fractions:
(-3465/55 - 44/55) - 5/55 + 16
Combining the fractions:
(-3465 - 44)/55 - 5/55 + 16
Simplifying the numerator:
-3510/55 - 5/55 + 16
Combining the fractions:
(-3510 - 5)/55 + 16
Simplifying the numerator:
-3515/55 + 16
We can simplify -3515/55 by dividing the numerator and denominator by their greatest common divisor, which is 5:
(-3515 ÷ 5) / (55 ÷ 5) + 16
-703/11 + 16
Now, we need to find a common denominator (which is 11) to add fractions:
(-703 + 176)/11
Simplifying the numerator:
-527/11
Therefore, the simplified expression is -527/11.