14. If $$ x $$ is multiplied by $$ \frac{1}{7} $$, then the value: a. Increases by $$ \frac{2}{3} $$ b. Decreases by $$ \frac{1}{5} $$ c. Increases by $$ \frac{2}{5} $$ d. Decreases by $$ \frac{6}{7} $$

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Let the initial value be $$ x $$ and the new value be $$ \frac{1}{7}x $$.

1. The decrease in value is calculated as:
   $$
   x - \frac{1}{7}x = \frac{7}{7}x - \frac{1}{7}x = \frac{6}{7}x
   $$

2. This means the value has decreased by $$ \frac{6}{7} $$ of $$ x $$.

Thus, the correct answer is:

d. Decreases by $$ \frac{6}{7} $$.
The value decreases by $$ \frac{6}{7} $$.

If is multiplied by , then the value:
a. Increases by
b. Decreases by
c. Increases by
d. Decreases by

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