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### Add, Subtract, Multiply, Divide Fractions

Below is a calculator that lets you add, subtract, multiply and divide fractions displaying where appropriate, the lowest common multiple (LCM) and the highest factor common to all denominators (HCF). First, a bit of theory :-
• A fraction consists of two numbers - a numerator (the number at top) and a denominator (the number at bottom).
• The numerator tells you the quantity of a particular quality (the denominator) you are dealing with.
• Example : 5/12 says you are dealing with a quantity of 5 out of a whole divided into 12 parts.
##### Kinds of fractions
• An improper or vulgar or common fraction is a fraction where the numerator (number at top) is larger than the denominator (number at bottom). Example : 38/7 which when converted gives a mixed fraction of 5 3/7. (See below)
• A proper fraction is one where the numerator is smaller than the denominator.
• A mixed fraction is a combination of a whole number and a proper fraction. Example : 7 3/5 (seven and three fifths), which converts to an improper fraction of 38/5.

To convert a mixed fraction to a vulgar fraction, you multiply the whole number by the denominator and add the numerator. Take 7 3/5 for example : 7x5=35+3=38 and you place this over the denominator (5) to complete the fraction, as above.

To convert an improper fraction to a mixed fraction, you find the whole number when multiplied by the denominator that gives a positive remainder less than the denominator. The remainder is now the new numerator. So we have the resulting whole number and the remainder(numerator)/denominator.

Use the calculator below to easily add, subtract, divide or multiply your fractions. You can add, subtract, divide or multiply 2 to 4 fractions at a time.

The lowest common multiple (LCM) and highest common factor (HCF) are calculated in appropriate cases.

Add, Subtract, Multiply, Divide Fractions
 Number of fractions Two Three Four Choose an operation Add Subtract Divide Multiply Numerator     Denominator / + /

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