To find the improper fraction value, we must effectively add together 71 and ⁵/₇. To do this, we will give 71 a denominator of 7; therefore, we are transforming ⁷¹/₁ to ^x/₇.  The shortest way to do this is to multiply by ⁷/₇ (which really is 1); therefore, 71 = 71 * (⁷/₇) = ⁴⁹⁷/₇.

Now add them: ^{(497 + 5)}/₇ = ⁵⁰²/₇

To find an improper fraction, you need to multiply the whole number that you have by the denominator of the associated fraction.  For our problem, this means that you will multiply  by , getting .  Next, you add this to the numerator of your fraction, giving you , or .  Finally, you place this over your original denominator, giving you: 

To find an improper fraction, you need to multiply the whole number that you have by the denominator of the associated fraction.  For our problem, this means that you will multiply  by , getting .  Next, you add this to the numerator of your fraction, giving you , or .  Finally, you place this over your original denominator, giving you: 

Going from 48 cookies to 12 cookies is a scaling factor of ¹/₄, so all the ingredients get multiplied by ¹/₄.  In order to make 12 cookies you will need ¹/₄ c white sugar, 1/4 c packed brown sugar, and ³/₄ c flour.  Added all together you get ⁵/₄ or 1 ¹/₄ c.

How many times does 12 go into 17?  Once with a remainder of 5.

So  becomes

To begin, notice that using your calculator, you can find:

Now, the closest even multiple of  that is less than  is .  Therefore, you know that your number is:

This is the same as:

, or simply, .  This is your mixed fraction.

Although there are many ways to convert improper fractions into mixed fractions, the easiest way is to use your calculator to your advantage.  Begin by dividing  by .  This gives you . Therefore, you can eliminate all the options that have do not have  for their first portion. Next, multiply  by the denominator (), and get .  This means that you have  and , or .  Thus, your answer is .

The denominator will stay the same.  The new numerator of the improper fraction can be determined by multiplying the denominator with the whole number coefficient, and then adding the numerator.

Divide 12 by 7. This means that seven goes into twelve one time. One times seven gives you seven. From here we subtract seven from twelve which give us our remainder of five.

The remainder of five is a fraction of seven.  

Write the mixed fraction.

The answer is: 

To determine the coefficient of the mixed number, divide 73 by 25.  There will be a remainder since 73 does not go perfectly into 25.  

There are two whole units and 23 of 25 units.  Rewrite this into a mixed fraction.

The correct answer is: