What is an improper fraction

An improper fraction is simply a fraction with the numerator being larger than the denominator.

To make it an improper fraction from the mixed number given, just multiply the whole number (2) by the denominator (3), then add the numerator (2). The result is the new numerator and the denominator remains the same.

In this case (2 2/3), it would be 2 * 3 + 2 for the numerator....or 8. So 8/3 would be the improper fraction.

Multiplying Fractions:

1. Make sure you're working with two fractions.
2. Multiply numerator x numerator, then multiply denominator x denominator.

Dividing Fractions:

1. Make sure you're working with two fractions
2. Flip the second fraction upside down.
3. Change the division sign into a multiplication sign.
4. Multiply top x top and bottom x bottom.

Converting Mixed Numbers into Improper Fractions:

1. Convert mixed numbers into improper fractions.
2. Take the whole (non-fraction) number and multiply it by the denominator.
3. Add that answer to the numerator.
4. Put that amount over the original denominator and you will have an improper fraction.

Method for Adding and Subtracting Fractions:

1. Find the lowest common denominator (bottom number). For both adding and subtracting fractions, you'll start with the same process.
2. Multiply fractions to match the lowest common denominator.
3. Add or subtract the two numerators (top number) but NOT the denominators.

I think of pizzas when doing fractions. If you cut the four full pizzas into thirds, how many slices will you have? Add this to the two other slices and you get your improper fraction.

So, to make an improper fraction, you multiply the whole number by the denominator and add it to the numerator. To get more improper fractions, you can multiply the numerator and denominator by the same number.

A positive improper fraction is greater than one. A negative improper fraction is less.

Convert the mixed numbers into improper fractions, and multiply the improper fractions. Do not forget to reduce the product to its simplest form.

Convert each mixed number (what you call mixed fraction) to an improper fraction, then multiply the two numerators and multiply the two denominators. Reduce the resulting fraction to its simplest form

Example
(2 1/3)*(1 5/7)=?
Convert 2 1/3 to an improper fraction 2 1/3=2+ 1/3 = 6/3+1/3=7/3
Convert 1 5/7 to an improper fraction 1 5/7=1+ 5/7 =7/7 +5/7=12/7
(2 1/3)*(1 5/7)= (7/3)*(12/7)= (7*12)/(3*7)
The 7's in the numerator and denominator cancel one another leaving
12/3=4
(2 1/3)*(1 5/7)=4
Not all products of mixed numbers will give a simple result as this one. More likely they will not.

Use the key marked [a b/c]

• To enter a mixed fraction, enter integral part, press [a b/c], enter the numerator pf fraction part, press [a b/c], then enter the denominator of the fraction and press =.
  
• To enter a fraction or an improper fraction, enter numerator, press [a b/c], then the denominator and =
• If the displayed result is a mixed number , use [2nd][a b/c] to convert it in a fraction (improper fraction).
  

Use the fraction conversion features of the calculator.
Near (above) the [S<>D] key that toggles display between fraction/radicals and decimals, there is a marking that reads [a b/c <=>d/c]. Accessed through the [SHIFT] key, this key converts from improper fractions [a b/c] to improper fractions [d/c].
Enter your fraction with the fraction key (the one below the CALC key) and press enter. If the numerator is less then the denominator (proper fraction) the remainder is just the numerator. If the numerator is greater than the denominator the display will show an improper fraction (d/c) or a mixed number [a b/c]. Here a is the integer part and b/c is the fraction part.
So, if you have [a b/c] type display the remainder is b.
If the result is displayed as an improper fraction, use [SHIFT][S<>D] to convert the improper fraction (d/c) to a b/c.

Hi eamon at hom,

Doing fraction on the Sharp El 531W really isn't that bad. I had to use pictures because, the symbols will not transfer over to your posting for me to show you. When you select the [ON/C] this clears the calculator of previous calculations and, data so that they won't interfere with your new calculations.

Let take the first example where a mix number is being added to a improper fraction. Because I used the [a^b/c] key this makes the calculator display the answer in a mixed fraction format or, a proper fraction format. If I press the [a^b/c] key again after the answer the format will change to a decimal format. The fractional formats are displayed in a mixed number, improper or, proper fraction formats. A improper fraction is really a proper fraction number with the top number (numerator) is greater than or equal to the bottom number (denominator).

[ON/C] [3] [a^b/c] [1] [ [a^b/c] [2] [+] [4] [a^b/c] [3] [=] mixed number results. Now let's do the same calculation as a improper or, proper fraction format.
[ON/C] [7] [a^b/c] [2] [+] [2] [a^b/c] [3] [=] still a mixed number result. Even though I enter the fractions in a improper and, proper fraction formats the calculator will still display in a mixed number format. This is because the calculator first displays as a mixed number if it can. If it can't then it will display the value as a proper fraction and, never as a improper fraction. To convert from a mixed number to a improper fraction format if the calculator did not convert it to a proper fraction, I have to use [2ndF] [d/c] keys on the command line.



This show a little more complex raised power use of the [a^b/c] key.

This shows the [2ndf] [x^-1] keys being used to calculate fractions.


When I first saw this question being asked it, was answered with just use the / command. Which that isn't really a good answer because, in math we like to use elimination. If you use the / command eventually the numbers are going to be rounded off and, your not going to be able to eliminate anything. If you have any further question on how to preform fractions with this calculator be sure to post your comment and, I'll be glad to help.

Use the [a b/c] button to convert a displayed decimal number to a mixed fraction. If you want to convert further to an improper fraction press [SHIFT][a b/c] to access (d/c).

The sequence [SHIFT][a b/c] (d/c) toggles between improper fractions and mixed fractions.