Which expression is A, in order to have a true equation A = 5 - 11/3 ?

Question

(1 point)

○ A = 15/3 + 1/3

○ A = 1 2/3 + 1/3

A = 1 2/3 - 1/3

A = - 1 2/3 + 1/3

Answer 1

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

First, we convert 5 into a fraction with a denominator of 3:

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

Now we can compute \( 5 - \frac{11}{3} \):

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

Now we can convert \( \frac{4}{3} \) to a mixed number or check the expressions provided:

1. \( A = \frac{15}{3} + \frac{1}{3} = \frac{16}{3} \) (not equal to \( \frac{4}{3} \))
2. \( A = 1 \frac{2}{3} + \frac{1}{3} = \frac{5}{3} \) (not equal to \( \frac{4}{3} \))
3. \( A = 1 \frac{2}{3} - \frac{1}{3} = \frac{5}{3} - \frac{1}{3} = \frac{4}{3} \) (this is equal to \( \frac{4}{3} \))
4. \( A = - 1 \frac{2}{3} + \frac{1}{3} = -\frac{5}{3} + \frac{1}{3} = -\frac{4}{3} \) (not equal to \( \frac{4}{3} \))

The only correct expression that makes the equation true is:

A = 1 \frac{2}{3} - \frac{1}{3}.