What is the result of 5/6 divided by 7/11?

To solve the problem of dividing ( \frac{5}{6} ) by ( \frac{7}{11} ), you can multiply ( \frac{5}{6} ) by the reciprocal of ( \frac{7}{11} ). The reciprocal of ( \frac{7}{11} ) is ( \frac{11}{7} ).

The operation can be expressed as follows:

[

\frac{5}{6} \div \frac{7}{11} = \frac{5}{6} \times \frac{11}{7}

]

Now, perform the multiplication:

[

\frac{5 \times 11}{6 \times 7} = \frac{55}{42}

]

Next, convert this improper fraction into a mixed number. Since 55 is greater than 42, we divide 55 by 42:

• 55 divided by 42 equals 1 with a remainder of 13.

Thus, ( \frac{55}{42} ) can be expressed as:

[

1 \frac{13}{42}

]

This means the result of ( \frac{5}{6} ) divided by ( \