Note: This is an introductory section for beginners or intermediates with the exception of the final cross multiplication section.
A fraction is one number divided by another number. It
represents an unsolved division, such as 3/5.
The numerator is the top number that represents the number of parts that are selected.
The bottom number is the denominator. The denominator represents the number of equal parts into which an entity has been divided.
For example, if a garden is divided into 5 equal plots, 3 of the plots is 3/5 of the garden.
A fraction that has 0 as its denominator (e.g., 5/0) is infinitely large and undefined (not a real number or integer).
If the numerator is zero, then the fraction equals zero (e.g. 0/5 = 0).
If the fraction has a numerator equal to the denominator (e.g., 5/5), the fraction is equal to 1.
Mixed Numbers are numbers that are equal to an integer plus a fraction.
The number 4 2/3 is the integer 4, plus the fraction 2/3. Any mixed number can be written as a fraction, and any fraction greater than 1 can be written as a mixed number.
To express 4 2/3 as a fraction:
1)
multiply 4 × 3
2)
add the numerator to this product, 12 + 2 = 14
3)
divide by the denominator: 4 2/3 = 14/3
To convert the fraction 17/5 into a mixed number: 1) divide by the denominator (17 divided by 5 is 3 with 2 remaining)
2) add the remainder over the denominator: 17/5 = 3 2/5
Example
Convert 4 5/7 into a fraction.
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