Evaluate 4 1/2−2−5 2/3
To evaluate this expression, we need to follow the order of operations (PEMDAS).
First, we should simplify any mixed numbers or fractions.
4 1/2 can be written as 9/2, and 5 2/3 can be written as 17/3.
So, the expression becomes:
9/2 - 2 - 17/3
Next, we need to find a common denominator to combine the fractions. The common denominator of 2 and 3 is 6.
So, the expression becomes:
(9/2 * 3/3) - (2 * 3/3) - (17/3)
Simplifying further:
27/6 - 6/6 - 17/3
Now, we can combine the fractions:
(27 - 6 - 34)/6
Finally, we can simplify the expression:
-13/6
Therefore, the value of 4 1/2 - 2 - 5 2/3 is -13/6.
Evaluate this expression.
42.86 − 23.42
To evaluate the expression 42.86 - 23.42, you can subtract the two numbers:
42.86 - 23.42 = 19.44
Therefore, the value of the expression is 19.44.
Consider this expression:
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?
To find the sum of the given expression using fractions, we can write all the numbers as fractions with a common denominator and then add them together.
The given expression is:
1/4 − 0.5 + 1/2 − 0.25 + 3/5 + 0.4
To find a common denominator for these fractions, we need to find the least common multiple (LCM) of 4, 2, and 5. The LCM of these numbers is 20.
Now, let's rewrite the expression with fractions having a denominator of 20:
(1/4)(5/5) - (0.5)(20/20) + (1/2)(10/10) - (0.25)(20/20) + (3/5)(4/4) + (0.4)(20/20)
Simplifying each term:
5/20 - 10/20 + 10/20 - 5/20 + 12/20 + 8/20
Combining the terms:
(5 - 10 + 10 - 5 + 12 + 8)/20
Simplifying the numerator:
(10 + 10 + 8)/20
Combining and simplifying the numerator:
28/20
Now, we can simplify the fraction:
28/20 = 7/5
Therefore, the sum of the given expression using fractions is 7/5.
Evaluate this expression.
32 + (−72.1)
To evaluate the expression 32 + (-72.1), you can simply add the two numbers:
32 + (-72.1) = -40.1
Therefore, the value of the expression is -40.1.
Simplify.
7.829 − 3.21
To simplify the expression 7.829 - 3.21, you can subtract the two numbers:
7.829 - 3.21 = 4.619
Therefore, the simplified form of the expression is 4.619.
Evaluate the numerical expression.
1/2 − (−3/4)