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Fractions facts for kids

Kids Encyclopedia Facts
Cake fractions
A cake with one quarter removed. The remaining 34 of the cake has been divided into two pieces.
Kid ordering fractions
A kid ordering fractions.
(Photo credit: jimmiehomeschoolmom)

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, \tfrac{1}{4}, 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.

The top part of the fraction is called a numerator. The bottom part of the fraction is called a denominator. For example, for the fraction \tfrac{1}{4}, the 1 is the numerator, and the 4 is the denominator.

Frac dice d6
Fraction dice.

Examples of fraction

  1. Fraction operator
    Scaled fraction used in step by step.
    A room where \tfrac{1}{4} 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 \tfrac{1}{4}, and is called a "quarter". Similarly, 2 parts of the cake (2 quarters) can be written \tfrac{2}{4}, which is also equal to 1/2 (one-half).

Mathematical fractions

Fracciones
Fractions pie chart

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 \tfrac{1}{2}). When the two quantities are polynomials, this is called a rational function.

One hundred lessons in fractions
Old school book "One hundred lessons in fractions".
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
ContinuedFractionGeneralCaseExample
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 \tfrac{1}{2} means one divided by two, or, in decimals, 0.5.

To find \tfrac{1}{2} of \tfrac{1}{2}, the denominators are multiplied, and because denominator 2 multiplied by 2 equals 4, we have that \tfrac{1}{2} x \tfrac{1}{2} = \tfrac{1}{4}, or 0.5 x 0.5 = 0.25.

(In this case, “\tfrac{1}{2} of” means "multiplication".)

To find \tfrac{1}{2} divided by \tfrac{1}{2}, multiply \tfrac{1}{2} by the reciprocal of \tfrac{1}{2}, 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 simplication.

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