Consider this expression:
14
1/4− 0.5 + 1/2 − 0.25 + 3/5 + 0.4
You are asked to find the sum by using fractions. Which expression could you use?
Responses
A 1/4 − 1/2 + 1/2− 1/4+ 3/5 + 2/5
B 1/4 − 1/4+ 1/2 − 1/4+ 3/5 + 2/5
C 1/4 − 1/2 + 1/2 − 1/4+ 4/5 + 2/5
D 1/4 − 1/2 − 1/2 − 1/4+ 3/5 + 2/5'
Find the sum.
Responses
A 0
B 1
C 1 1/2
D 1/2
To find the sum of the expression, we need to simplify it by combining like terms.
Looking at the expression, we can see that the terms with the same denominator are - 1/4 and 1/4, - 1/2 and 1/2, and 3/5 and 2/5.
Therefore, we can rewrite the expression using fractions as:
1/4 - 1/4 + 1/2 - 1/4 + 3/5 + 2/5
Simplifying further, we have:
0 + 0 + 1/2 + 0 + 3/5 + 2/5
Combining the terms, we get:
1/2 + 5/5
1/2 + 1
Therefore, the sum of the expression is 1 1/2.
So, the correct answer is:
C) 1 1/2
Evaluate 4 1/2−2−5 2/3
-3 1/6
12 1/6
2 1/6
-4 1/6
To evaluate the expression, we need to perform the subtraction operations following the order of operations.
First, let's subtract 2/3 from 5 2/3.
5 2/3 - 2/3 = 5 - 2/3 = 4 2/3.
Next, let's subtract 2 from 4 1/2.
4 1/2 - 2 = 4 - 2 1/2 = 3 1/2.
Therefore, the expression 4 1/2 - 2 - 5 2/3 is equal to 3 1/2 - 4 2/3.
To subtract the fractions, we need to find a common denominator. The least common multiple of 2 and 3 is 6.
Converting 1/2 and 2/3 to have a denominator of 6:
(1/2) * (3/3) = 3/6
(2/3) * (2/2) = 4/6
Now we can subtract the fractions:
3 1/2 - 4 2/3 = 3 - 1/6 - 4 = 3 - 1/6 - 24/6 = 3 - 25/6.
To combine the whole numbers and fractions, let's rewrite 3 as 18/6:
18/6 - 25/6 = (18 - 25)/6 = -7/6 = -1 1/6.
Therefore, the final result is -1 1/6.
So, the correct answer is:
D) -1 1/6.
thats not an answer choice. your supposed to pick one of the choices provided to you
Apologies for the oversight. Let's evaluate the expression using the given answer choices.
We have:
4 1/2 - 2 - 5 2/3
To simplify, we can convert all the mixed numbers to improper fractions:
4 1/2 = 9/2
5 2/3 = 17/3
Plugging the values into the expression:
9/2 - 2 - 17/3
To add or subtract fractions, we need a common denominator. The least common multiple of 2 and 3 is 6.
Converting the fractions to have a denominator of 6:
(9/2) * (3/3) = 27/6
(17/3) * (2/2) = 34/6
Now we can simplify the expression:
27/6 - 12/6 - 34/6
Combining the numerators:
(27 - 12 - 34)/6 = -19/6
Converting the improper fraction back to a mixed number:
-19/6 = -3 1/6
Among the given choices, the expression simplifies to:
-3 1/6
So, the correct answer is:
A) -3 1/6.
Evaluate this expression.
42.86 − 23.42
Responses
A 14.4114.41
B 19.4419.44
C 21.6221.62
D 22.04
To evaluate the given expression, simply subtract 23.42 from 42.86:
42.86 - 23.42 = 19.44
Therefore, the correct answer is:
B) 19.44