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

Responses

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

A=153+13

1 answer

To find which expression for \( A \) makes the equation \( A = 5 - \frac{1}{13} \) true, we need to evaluate what \( 5 - \frac{1}{13} \) is.

Let's calculate \( 5 - \frac{1}{13} \):

  1. Convert \( 5 \) to a fraction with a denominator of \( 13 \): \[ 5 = \frac{5 \times 13}{13} = \frac{65}{13} \]

  2. Now perform the subtraction: \[ 5 - \frac{1}{13} = \frac{65}{13} - \frac{1}{13} = \frac{64}{13} \]

Now we know that \( A \) must equal \( \frac{64}{13} \).

Let's evaluate the given responses to see which one equals \( \frac{64}{13} \):

  1. Option: \( A = \frac{123 + 13}{\text{not valid as it is not simplified or clear}} \)
  2. Option: \( A = \frac{123 - 13}{\text{not valid as it is not simplified or clear}} \)
  3. Option: \( A = -\frac{123 + 13}{\text{not valid as it is not simplified or clear}} \)
  4. Option: \( A = \frac{153 + 13}{\text{not valid as it is not simplified or clear}} \)

Since we need to see the valid fractions explicitly:

Let's assume that:

  • Option 1 was intended as \( \frac{12}{3} - \frac{1}{3} \)
  • Option 2 was intended as \( \frac{12}{3} + \frac{1}{3} \)
  • Option 3 was intended as \( -\frac{12}{3} + \frac{1}{3} \)
  • Option 4 was intended as \( \frac{15}{3} + \frac{1}{3} \)

However, in this case, none of the given options can be evaluated without clarifying their mathematical format. Please ensure the expressions are properly formatted or clarified for accurate evaluation.

To sum up, the value of \( A \) that makes the equation true is \( \frac{64}{13} \).