To rewrite the mixed fractions as improper fractions we multiply the whole number by the denominator and add the numerator to get our new numerator. Our denominator stays the same. With this in mind we get the following:

and

.

Adding them gives us

.

To rewrite the mixed fractions as improper fractions we multiply the whole number by the denominator and add the numerator to get our new numerator. Our denominator stays the same. With this in mind we get the following:

and

.

Adding them gives us

.

We first multiply the numerators:

Then we multiply the denominators:

The resulting fraction is:

We divide the numerator and denominator by 12.

The numerator is:

The denominator results in:

Our resulting fraction is:

We first multiply the numerators:

Then we multiply the denominators:

The resulting fraction is:

We divide the numerator and denominator by 12.

The numerator is:

The denominator results in:

Our resulting fraction is:

The correct answer is .

The mixed number can be broken down as follows: 3 is the whole number, 1 is the numerator, and 4 is the denominator.

In order to convert the mixed number to an improper fraction, you must first multiply the denominator with the whole number and then add the numerator to it.

This answer is the numerator of the improper fraction:

.

The denominator of the fraction remains the same and the final answer is .

The correct answer is .

The mixed number can be broken down as follows: 3 is the whole number, 1 is the numerator, and 4 is the denominator.

In order to convert the mixed number to an improper fraction, you must first multiply the denominator with the whole number and then add the numerator to it.

This answer is the numerator of the improper fraction:

.

The denominator of the fraction remains the same and the final answer is .

First, multiply the terms in the numerators:

Then multiply the terms in the denominators:

This results in the fraction .

Notice that both the numerator and denominator have a common factor of 6. Dividing both the numerator and denominator by 6 results in the simplest form fraction .

First, multiply the terms in the numerators:

Then multiply the terms in the denominators:

This results in the fraction .

Notice that both the numerator and denominator have a common factor of 6. Dividing both the numerator and denominator by 6 results in the simplest form fraction .

To find the reciprocal of a fraction, flip the numerator and the denominator.

Thus, the reciprocal of is .

Then we need to find the sum of 4 and 7, which is 11.

First, multiply the numerators of the terms:

Then, multiply the denominators of the terms:

The resulting fraction is . Note that the numerator and denominator both have a common factor of 6. Dividing both parts of the fraction by 6, we get the simplest form fraction .