What is the result of subtracting 1/5 from 6/7?

To find the result of subtracting ( \frac{1}{5} ) from ( \frac{6}{7} ), you need a common denominator for the fractions. The least common multiple of the denominators 5 and 7 is 35.

Next, convert each fraction to have a denominator of 35:

• For ( \frac{6}{7} ):

[

\frac{6}{7} = \frac{6 \times 5}{7 \times 5} = \frac{30}{35}

]

• For ( \frac{1}{5} ):

[

\frac{1}{5} = \frac{1 \times 7}{5 \times 7} = \frac{7}{35}

]

Now that both fractions have a common denominator, you can proceed to subtract:

[

\frac{30}{35} - \frac{7}{35} = \frac{30 - 7}{35} = \frac{23}{35}

]

Thus, the result of subtracting ( \frac{1}{5} ) from ( \frac{6}{7} )