Question

Evaluate the expression for the given value of the variable. (Review 1.1) $$\frac{5}{16}-p \text { when } p=\frac{3}{8}$$

Short answer

The value of the expression \( \frac{5}{16} - p \) when \( p=\frac{3}{8} \) is \( -\frac{1}{16} \).

Step-by-step solution

Substitution

Substitute \( \frac{3}{8} \) for 'p' in the expression. Thus, the initial expression \( \frac{5}{16}-p \) becomes \( \frac{5}{16} - \frac{3}{8} \).

Convert to the Same Denominator

To simplify the expression, it is necessary to convert the fractions to have the same denominator. Since 16 is an easy multiply of 8, the expression can be rewritten as \( \frac{5}{16} - \frac{6}{16} \).

Simplify the Expression

Now, it is simple to subtract the numerators: \( \frac{5 - 6}{16} = \frac{-1}{16} \).