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

Question

Responses

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

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

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

A=123+13

Answer 1

To solve for A in the equation \( A = 5 - \frac{11}{3} \), we should first simplify the expression on the right side.

Start by converting 5 into a fraction with a denominator of 3:

\[ 5 = \frac{15}{3} \]

Now, perform the subtraction:

\[ A = \frac{15}{3} - \frac{11}{3} = \frac{15 - 11}{3} = \frac{4}{3} \]

Now let's evaluate the given options to see which one is equivalent to \( \frac{4}{3} \):

1. A = \(-\frac{2}{3} + \frac{1}{3}\)
   \( -\frac{2}{3} + \frac{1}{3} = -\frac{2 - 1}{3} = -\frac{1}{3} \) (not equal to \( \frac{4}{3} \))

2. A = \(\frac{12}{3} - \frac{1}{3}\)
   \( \frac{12}{3} - \frac{1}{3} = \frac{12 - 1}{3} = \frac{11}{3} \) (not equal to \( \frac{4}{3} \))

3. A = \(\frac{15}{3} + \frac{1}{3}\)
   \( \frac{15}{3} + \frac{1}{3} = \frac{15 + 1}{3} = \frac{16}{3} \) (not equal to \( \frac{4}{3} \))

4. A = \(\frac{12}{3} + \frac{1}{3}\)
   \( \frac{12}{3} + \frac{1}{3} = \frac{12 + 1}{3} = \frac{13}{3} \) (not equal to \( \frac{4}{3} \))

None of the expressions provided appear to equal \( \frac{4}{3} \). If there is a mistake in parsing the question or the options provided, please clarify so I can assist you better!