To determine which expression makes the equation \( A = 5 - \frac{11}{3} \) true, we first need to calculate \( 5 - \frac{11}{3} \).
-
Convert \( 5 \) to a fraction with a denominator of \( 3 \): \[ 5 = \frac{15}{3} \]
-
Now perform the subtraction: \[ A = \frac{15}{3} - \frac{11}{3} = \frac{15 - 11}{3} = \frac{4}{3} \]
So, \( A = \frac{4}{3} \).
Now we need to evaluate which expression among the options equals \( \frac{4}{3} \).
-
\( 153 + 13 \):
- \( 15 \frac{3}{3} + \frac{1}{3} = \frac{45}{3} + \frac{1}{3} = \frac{46}{3} \) (Not equal to \( \frac{4}{3} \))
-
\( 123 - 13 \):
- \( 1 \frac{2}{3} - \frac{1}{3} = \frac{4}{3} - \frac{1}{3} = \frac{3}{3} = 1 \) (Not equal to \( \frac{4}{3} \))
-
\( 123 + 13 \):
- \( 1 \frac{2}{3} + \frac{1}{3} = \frac{4}{3} + \frac{1}{3} = \frac{5}{3} \) (Not equal to \( \frac{4}{3} \))
-
\( −123 + 13 \):
- \( -1 \frac{2}{3} + \frac{1}{3} = -\frac{4}{3} + \frac{1}{3} = -\frac{4}{3} + \frac{3}{3} = -\frac{1}{3} \) (Not equal to \( \frac{4}{3} \))
Upon reviewing the responses, it appears that none of the expressions provided yield the value of \( \frac{4}{3} \). Please check if the calculations and expressions given in the responses are correct, or if there are additional expressions to evaluate.