Mathematics Fraction: Mathematical representation of a portion of a whole

A fraction is a number that shows how many equal parts there are.

When we write fractions, we show one number with a line above (or a slash next to) another number. For example, , 14 and 1/4.are different ways of writing the same fraction (in this case a quarter). The top number tells us how many parts there are, and the bottom number tells us the total number of parts.

Mathematics Fraction: Numerators and denominators, Examples of fractions, Mathematical fractions
A cake with one quarter removed. The remaining 34 of the cake has been divided into two pieces.

Numerators and denominators

The top part of a fraction (example: 1/4) is a numerator. Numerators can be any real numbers. The numerator can be on the top or to the left when writing fractions. The bottom part of a fraction (example: 1/4) is called a denominator. This number cannot be zero. It is on the bottom or on the right when writing fractions.

A proper fraction is a fraction with the numerator smaller than the denominator. An improper fraction is a fraction where the numerator is bigger than the denominator. For example, Mathematics Fraction: Numerators and denominators, Examples of fractions, Mathematical fractions  is a proper fraction, and Mathematics Fraction: Numerators and denominators, Examples of fractions, Mathematical fractions  is an improper fraction.

Mathematics Fraction: Numerators and denominators, Examples of fractions, Mathematical fractions 
Fraction dice.

Examples of fractions

  1. A room where Mathematics Fraction: Numerators and denominators, Examples of fractions, Mathematical fractions  of the people are girls, has 1 girl for every 4 people.
  2. A cake can be thought of as being made up of 4 equal parts, where each is 1 part of 4. This can be written as Mathematics Fraction: Numerators and denominators, Examples of fractions, Mathematical fractions , and is called a "quarter". Similarly, 2 parts of the cake (2 quarters) can be written Mathematics Fraction: Numerators and denominators, Examples of fractions, Mathematical fractions , which is also equal to 1/2 (one-half).

Mathematical fractions

A fraction is a mathematical expression relating two quantities or numbers, where one divides the other. When the two quantities are whole numbers (or integers), this is called a rational number (such as the fraction Mathematics Fraction: Numerators and denominators, Examples of fractions, Mathematical fractions ). When the two quantities are polynomials, this is called a rational function.

Fraction table
1/2 2/3 3/4
4/5 5/6 6/7
7/8 8/9 9/10
10/11 11/12 12/13
13/14 14/15 15/16
16/17 17/18 18/19
19/20 20/21 21/22
22/23 23/24 24/25
25/26 26/27 27/28
29/30 30/31 32/33
33/34 34/35 35/36
36/37 37/38 38/39
39/40 40/41 42/43
43/44 44/45 45/46
46/47 47/48 48/49
49/50 50/51 51/52
52/53 53/54 54/55
55/56 56/57 57/58
58/59 59/60 60/61
61/62 62/63 64/65
65/66 66/67 68/69
69/70 70/71 71/72
72/73 73/74 74/75
75/76 76/77 77/78
78/79 79/80 80/81
81/82 82/83 83/84
84/85 85/86 86/87
87/88 88/89 89/90
Mathematics Fraction: Numerators and denominators, Examples of fractions, Mathematical fractions 
Fraction numbers used in addition in lines


Mathematically, a fraction is a quotient of numbers, representing the number's value when the numerator (upper number) is divided by the denominator (lower number). Thus Mathematics Fraction: Numerators and denominators, Examples of fractions, Mathematical fractions  means one divided by two, or, in decimals, 0.5.

To find Mathematics Fraction: Numerators and denominators, Examples of fractions, Mathematical fractions  of Mathematics Fraction: Numerators and denominators, Examples of fractions, Mathematical fractions , the denominators are multiplied, and because denominator 2 multiplied by 2 equals 4, we have that Mathematics Fraction: Numerators and denominators, Examples of fractions, Mathematical fractions  x Mathematics Fraction: Numerators and denominators, Examples of fractions, Mathematical fractions  = Mathematics Fraction: Numerators and denominators, Examples of fractions, Mathematical fractions , or 0.5 x 0.5 = 0.25.

(In this case, “Mathematics Fraction: Numerators and denominators, Examples of fractions, Mathematical fractions  of” means "multiplication".)

To find Mathematics Fraction: Numerators and denominators, Examples of fractions, Mathematical fractions  divided by Mathematics Fraction: Numerators and denominators, Examples of fractions, Mathematical fractions , multiply Mathematics Fraction: Numerators and denominators, Examples of fractions, Mathematical fractions  by the reciprocal of Mathematics Fraction: Numerators and denominators, Examples of fractions, Mathematical fractions , which is 2. That answer is 1.

Multiplying

To multiply two fractions, the first numerator is multiplied by the other numerator, and the first denominator is multiplied by the other denominator. For example. 24 x 34 = 616. One can simplify this by dividing both numbers by a common factor. This would be 38 after the simplification.

References

Other websites

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