Which expression has the same value as -4(3)/(4)+3(1)/(6) ? 4(3)/(4)-3(1)/(6) -4(3)/(4)-3(1)/(6) 3(1)/(6)-4(3)/(4) -3(1)/(6)+(-4(3)/(4))

Question

Which expression has the same value as  -4(3)/(4)+3(1)/(6) ?  4(3)/(4)-3(1)/(6)  -4(3)/(4)-3(1)/(6)  3(1)/(6)-4(3)/(4)  -3(1)/(6)+(-4(3)/(4))

Bytelearn · Accepted Answer

Evaluate Expression: Evaluate the given expression. -4(3)/(4) + 3(1)/(6) First, simplify each fraction. -4 * (3/4) = -3 3 * (1/6) = 1/2 Now, add the simplified terms. -3 + 1/2 To add these, we need a common denominator, which is 2. -3 can be written as -6/2. So, -6/2 + 1/2 = (-6 + 1)/2 = -5/2Simplify Fractions: Evaluate each of the answer choices to see which one matches the value of -5/2. Let's start with the first choice: 4(3)/(4) - 3(1)/(6) 4 * (3/4) = 3 3 * (1/6) = 1/2 Now, subtract the simplified terms. 3 - 1/2 To subtract these, we need a common denominator, which is 2. 3 can be written as 6/2. So, 6/2 - 1/2 = (6 - 1)/2 = 5/2 This does not match -5/2.Add Simplified Terms: Evaluate the second choice: -4(3)/(4) - 3(1)/(6) -4 * (3/4) = -3 3 * (1/6) = 1/2 Now, subtract the simplified terms. -3 - 1/2 To subtract these, we need a common denominator, which is 2. -3 can be written as -6/2. So, -6/2 - 1/2 = (-6 - 1)/2 = -7/2 This does not match -5/2.Evaluate Answer Choices: Evaluate the third choice: 3(1)/(6) - 4(3)/(4) 3 * (1/6) = 1/2 -4 * (3/4) = -3 Now, subtract the simplified terms. 1/2 - (-3) To subtract these, we need a common denominator, which is 2. -3 can be written as -6/2. So, 1/2 - (-6/2) = (1 + 6)/2 = 7/2 This does not match -5/2.Evaluate First Choice: Evaluate the fourth choice: -3(1)/(6) + (-4(3)/(4)) -3 * (1/6) = -1/2 -4 * (3/4) = -3 Now, add the simplified terms. -1/2 + (-3) To add these, we need a common denominator, which is 2. -3 can be written as -6/2. So, -1/2 + (-6/2) = (-1 - 6)/2 = -7/2 This does not match -5/2.Evaluate Second Choice: None of the choices match the value of -5/2, which is the value of the given expression. Therefore, there must be a mistake in the question or the answer choices provided.

Which expression has the same value as $-4 \frac{3}{4}+3 \frac{1}{6}$ ? $\newline$ $4 \frac{3}{4}-3 \frac{1}{6}$ $\newline$ $-4 \frac{3}{4}-3 \frac{1}{6}$ $\newline$ $3 \frac{1}{6}-4 \frac{3}{4}$ $\newline$ $-3 \frac{1}{6}+\left(-4 \frac{3}{4}\right)$

Full solution

More problems from Multiplication with rational exponents

Related topics