75.5 − 32.55
75.5 - 32.55 equals 42.95.
−86.4 + 16.38.
-86.4 + 16.38 equals -70.02.
-3/2 + 8/5
To add fractions, we need to have a common denominator.
The least common denominator for 2 and 5 is 10.
So, we need to rewrite the fractions with a common denominator of 10.
-3/2 can be rewritten as -15/10 and 8/5 can be rewritten as 16/10.
Now, we can add the fractions together:
-15/10 + 16/10 = (16 - 15) / 10 = 1/10
Therefore, -3/2 + 8/5 equals 1/10.
Anna is evaluating some rational expressions. Which THREE are correct?
Responses
A 152 − 200 = −48152 − 200 = −48
B −25 + (−25) = 0−25 + (−25) = 0
C 89 − (−17) = 10689 − (−17) = 106
D 134 − (−16) = 118134 − (−16) = 118
E −39 − (−28) = −11
The correct options are:
C 89 − (−17) = 106
D 134 − (−16) = 118
E −39 − (−28) = −11
can you explain how
Certainly! Let's go through each of the three options:
C) 89 - (-17) = 106
When subtracting a negative number, we can think of it as adding the opposite. So, 89 - (-17) is equivalent to 89 + 17. Adding 89 and 17 gives us 106.
D) 134 - (-16) = 118
Similar to the previous explanation, when subtracting a negative number, we can think of it as adding the opposite. So, 134 - (-16) is equivalent to 134 + 16. Adding 134 and 16 gives us 150. Therefore, this option is incorrect.
E) -39 - (-28) = -11
Again, when subtracting a negative number, we can think of it as adding the opposite. So, -39 - (-28) is equivalent to -39 + 28. Adding -39 and 28 gives us -11.
Therefore, options C, D, and E are correct.
What is the value of the expression −6 4/9−1 1/3
?
To subtract mixed numbers, we need to convert them to improper fractions, find a common denominator, and then subtract.
Let's start by converting the mixed numbers to improper fractions:
−6 4/9 can be converted to - (6 * 9 + 4) / 9 = -58/9
1 1/3 can be converted to (1 * 3 + 1) / 3 = 4/3
Now, let's find a common denominator. The least common denominator for 9 and 3 is 9.
So, we need to rewrite the fractions with a common denominator of 9.
-58/9 can stay the same.
4/3 can be rewritten as (4/3) * (3/3) = 12/9
Now, we can subtract the fractions together:
-58/9 - 12/9 = (-58 - 12) / 9 = -70/9
Therefore, the value of the expression −6 4/9−1 1/3 is -70/9.
full
To subtract mixed numbers, we can follow these steps:
1. Convert the mixed numbers to improper fractions.
-6 4/9 can be expressed as - (6 * 9 + 4) / 9 = -58/9.
1 1/3 can be expressed as (1 * 3 + 1) / 3 = 4/3.
2. Find a common denominator.
Since the denominators are already different (9 and 3), we can use the least common multiple (LCM) of 9 and 3, which is 9.
3. Rewrite the fractions with the common denominator.
For -58/9, the denominator is already 9, so it remains the same.
For 4/3, we can multiply the numerator and denominator by 3 to get 12/9.
4. Subtract the fractions.
-58/9 - 12/9 = (-58 - 12) / 9 = -70/9.
Therefore, the value of the expression −6 4/9 − 1 1/3 is -70/9.
What is the value of the expression -17.03 + (-17.204)?
To find the value of the expression -17.03 + (-17.204), we simply need to add the two numbers together.
-17.03 + (-17.204) equals -34.234.
Therefore, the value of the expression -17.03 + (-17.204) is -34.234.
7.829 − 3.21
7.829 − 3.21 equals 4.619.
What is 4− 1 1/4 + 1/2
?
To find the value of the expression 4 - 1 1/4 + 1/2, we need to simplify it step by step:
1) Simplify the mixed number 1 1/4 by converting it to an improper fraction:
1 * 4 + 1 = 5/4
2) Find a common denominator for the fractions. The least common denominator (LCD) for 4 and 1/2 is 4.
4 can be written as 16/4, and 1/2 can be written as 2/4.
Now, the expression becomes:
4 - 5/4 + 2/4
3) Combine the whole number and fractions:
4 - 5/4 + 2/4 = 16/4 - 5/4 + 2/4
4) Subtract and add the fractions:
16/4 - 5/4 + 2/4 = 13/4 + 2/4
5) Simplify the sum of the fractions:
13/4 + 2/4 = 15/4
So, the value of the expression 4 - 1 1/4 + 1/2 is 15/4.
7.4 − (−3.7)
To find the value of the expression 7.4 - (-3.7), we need to subtract the negative number by adding its opposite.
7.4 - (-3.7) is equivalent to 7.4 + 3.7.
Adding 7.4 and 3.7 gives us 11.1.
Therefore, the value of the expression 7.4 - (-3.7) is 11.1.
425.82 − (−120.75)
To find the value of the expression 425.82 - (-120.75), we need to subtract the negative number by adding its opposite.
425.82 - (-120.75) is equivalent to 425.82 + 120.75.
Adding 425.82 and 120.75 gives us 546.57.
Therefore, the value of the expression 425.82 - (-120.75) is 546.57.