What is 4−1 1/4 + 1/2?
A 2 7/16
B 2 3/4
C 2 1/4
D 3 1/4
The answer is D) 3 1/4.
Simplify.
7.829 − 3.21
A 3.127
B 4.209
C 4.619
D 11.039
The answer is C) 4.619.
Evaluate this expression.
75.5 − 32.55
A 33.65
B 41.65
C 42.95
D 108.05
The answer is B) 42.95.
To solve the expression 4−1 1/4 + 1/2, follow these steps:
Step 1: Convert the mixed number 1 1/4 into an improper fraction.
1 1/4 = (4 * 1) + 1 / 4 = 5/4
Step 2: Add the fractions.
5/4 + 1/2 = (5 * 2) + (1 * 4) / (4 * 2) = 10/8 + 4/8 = 14/8
Step 3: Simplify the fraction.
14/8 = (7 * 2) / (4 * 2) = 7/4
Step 4: Subtract the fraction from the whole number.
4 - 7/4 = (16/4) - (7/4) = 9/4
Step 5: Convert the improper fraction back to a mixed number.
9/4 = 2 1/4
Therefore, the answer is C) 2 1/4.
To find the answer to the expression 4−1 1/4 + 1/2, you need to follow the order of operations, which is typically remembered using the acronym PEMDAS (parentheses, exponents, multiplication and division - from left to right, and addition and subtraction - from left to right).
We will start with the subtraction operation 4−1.
4−1 = 3.
Next, we will add the mixed number 1 1/4 to the result of the subtraction.
To add the mixed number 1 1/4, we need to convert it to an improper fraction. Multiplying the whole number (1) by the denominator (4) and adding the numerator (1) gives us 5. So, 1 1/4 as an improper fraction is 5/4.
Adding 3 to 5/4 gives us:
3 + 5/4 = (3*4 + 5) / 4 = (12 + 5) / 4 = 17/4.
Lastly, we will add the fraction 1/2 to the previous result.
Adding 17/4 and 1/2:
17/4 + 1/2 = (17*2 + 4) / (4*2) = (34 + 4) / 8 = 38/8 = 4 3/8.
Therefore, the answer to the expression 4−1 1/4 + 1/2 is 4 3/8.