Question

the four blades in a four - piece chisel set contain cutting - edge widths of \\(\frac{1}{5}\\) in, \\(\frac{1}{6}\\) in, \\(\frac{2}{7}\\) in, and 1 in. find the difference in the cutting - edge width of the two chisels with the widest blades. the difference in the cutting - edge width of the two chisels with the widest blades is \\(square\\) in. (type a whole number or a simplified fraction.)

Explanation:

Step1: Identify widest blades

The widths are $\frac{1}{5}$, $\frac{1}{6}$, $\frac{2}{7}$, $1$. The two widest are $1$ and $\frac{2}{7}$.

Step2: Calculate the difference

Subtract the smaller from the larger:
$1 - \frac{2}{7} = \frac{7}{7} - \frac{2}{7} = \frac{5}{7}$

Answer:

$\frac{5}{7}$ in