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

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

• A. 1 13/42
• B. 1 7/42
• C. 1 15/42
• D. 1 1/42

Answer: (A)

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 \( \

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 ( \