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Which expression is A, in order to have a true equation A=5−113 ?(1 point)
Responses

A=153+13
Start Fraction 15 over 3 End Fraction plus Start Fraction 1 over 3 End Fraction

A=−123+13
negative 1 Start Fraction 2 over 3 End Fraction plus Start Fraction 1 over 3 End Fraction

A=123+13
negative 1 Start Fraction 2 over 3 End Fraction minus Start Fraction 1 over 3 End Fraction

A=123−13

1 answer

To find the value of \(A\) in the equation \(A = 5 - \frac{11}{3}\), let's first simplify the right side:

  1. Convert \(5\) to a fraction with a denominator of \(3\): \[ 5 = \frac{15}{3} \]

  2. Now perform the subtraction: \[ A = \frac{15}{3} - \frac{11}{3} = \frac{15 - 11}{3} = \frac{4}{3} \]

Now, we want to find an expression among the provided options that equals \(\frac{4}{3}\):

  1. Option 1: \(A = \frac{15}{3} + \frac{1}{3}\) \[ \frac{15}{3} + \frac{1}{3} = \frac{15 + 1}{3} = \frac{16}{3} \quad \text{(not equal to } \frac{4}{3}\text{)} \]

  2. Option 2: \(A = -\frac{1}{3} + \frac{1}{3}\) \[ -\frac{1}{3} + \frac{1}{3} = 0 \quad \text{(not equal to } \frac{4}{3}\text{)} \]

  3. Option 3: \(A = -\frac{1}{3} - \frac{1}{3}\) \[ -\frac{1}{3} - \frac{1}{3} = -\frac{2}{3} \quad \text{(not equal to } \frac{4}{3}\text{)} \]

  4. Option 4: \(A = \frac{4}{3} - \frac{1}{3}\) \[ \frac{4}{3} - \frac{1}{3} = \frac{4 - 1}{3} = \frac{3}{3} = 1 \quad \text{(not equal to } \frac{4}{3}\text{)} \]

None of the options seem to provide an expression equal to \(\frac{4}{3}\) that corresponds to the calculation we made.

Upon re-evaluation, if we're looking for a valid representation of \(A = \frac{4}{3}\), none of the provided choices matches. Please check the expressions provided, as they don't seem to represent a valid option for \(A = 5 - \frac{11}{3}\), which simplifies to \(\frac{4}{3}\).

If you have further questions or need clarification, feel free to ask!