Evaluate this expression if the variable stands for 7÷5 X +3 is the answer 61, 38,32 or 57+3
To evaluate the expression with the variable standing for \( \frac{7}{5} \), let's assume the expression is meant to be written as follows:
\[ X + 3 \]
If \( X \) represents \( \frac{7}{5} \), then we simply substitute the value of X in the expression:
\[ \frac{7}{5} + 3 \]
Now convert the whole number 3 to a fraction with the same denominator as \( \frac{7}{5} \):
\[ 3 = \frac{3 \times 5}{5} = \frac{15}{5} \]
Now we can add the two fractions since they have the same denominator:
\[ \frac{7}{5} + \frac{15}{5} = \frac{7 + 15}{5} = \frac{22}{5} \]
The fraction \( \frac{22}{5} \) can be turned into a mixed number:
\[ \frac{22}{5} = 4 + \frac{2}{5} \]
So the value of the expression is \( 4 \frac{2}{5} \), or in improper fraction form, \( \frac{22}{5} \).
Among the options provided (61, 38, 32, or "57+3"), none of them match our calculated result. However, if "57+3" is not a typographical error and instead you meant to consider "57+3" as the evaluation of a separate expression, then "57+3" would indeed equal 60, which is also not equivalent to the calculated result of \(4 \frac{2}{5}\) or \( \frac{22}{5} \).
It appears there may have been a misunderstanding of the initial problem or the provided options as none of them correspond with the calculated result.