Question

Which expression when substituted for A makes the equation A=5−11/3 true?(1 point)
Responses

153+13
15 thirds plus 1 third

123−13
1 and 2 thirds minus 1 third

123+13
1 and 2 thirds plus 1 third

−123+13
negative 1 and 2 thirds plus 1 third

Answer 1

To determine which expression makes the equation \( A = 5 - \frac{11}{3} \) true, we first need to calculate \( 5 - \frac{11}{3} \).

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

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

So, \( A = \frac{4}{3} \).

Now we need to evaluate which expression among the options equals \( \frac{4}{3} \).

1. **\( 153 + 13 \)**:
- \( 15 \frac{3}{3} + \frac{1}{3} = \frac{45}{3} + \frac{1}{3} = \frac{46}{3} \) (Not equal to \( \frac{4}{3} \))

2. **\( 123 - 13 \)**:
- \( 1 \frac{2}{3} - \frac{1}{3} = \frac{4}{3} - \frac{1}{3} = \frac{3}{3} = 1 \) (Not equal to \( \frac{4}{3} \))

3. **\( 123 + 13 \)**:
- \( 1 \frac{2}{3} + \frac{1}{3} = \frac{4}{3} + \frac{1}{3} = \frac{5}{3} \) (Not equal to \( \frac{4}{3} \))

4. **\( −123 + 13 \)**:
- \( -1 \frac{2}{3} + \frac{1}{3} = -\frac{4}{3} + \frac{1}{3} = -\frac{4}{3} + \frac{3}{3} = -\frac{1}{3} \) (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.