The earliest known use of fractions in 2800 BC as Ancient Indus Valley units of measurement. The Egyptians used Egyptian fractions in 1000 BC. The Greeks used unit fractions and later continued fractions and followers of the Greek philosopher Pythagoras, in 530 BC, discovered that the square root of two cannot be expressed as a fraction. In 150 BC Jain mathematicians in Indiawrote the “Sthananga Sutra”, which contains work on the theory of numbers, arithmetical operations, operations with fractions.
In Sanskrit literature, fractions, or rational numbers were always expressed by an integer followed by a fraction. When the integer is written on a line, the fraction is placed below it and is itself written on two lines, the numerator called amsa part on the first line, the denominator called cheda “divisor” on the second below.
The denominator is math terminology used when discussing fractions. Fractions have three parts: the numerator or top number, the vinculum or the line separating the numbers which means divide by, and the denominator or bottom number. The fraction actually suggests division. The denominator divides the numerator. In the fraction 3/4, for instance, this could be read as 3 divided by 4, .75, or 75%.
Types of Factors
1. Vulgar Fraction :
A vulgar fraction (or common fraction) is a rational number written as one integer (the numerator) divided by a non-zero integer (thedenominator). Ex: 7/2
2. Proper Fraction :
A vulgar fraction is said to be a proper fraction if the absolute value of the numerator is less than the absolute value of the denominator that is, if the absolute value of the entire fraction is less than 1. Ex:2/7
3. Improper Fraction :
A vulgar fraction is said to be an improper fraction (US, British or Australian) or top-heavy fraction (British, occasionally North America) if the absolute value of the numerator is greater than or equal to the absolute value of the denominator. Ex: 7/2
4. Mixed Fractions :
A mixed Fraction is the sum of a whole number and a proper fraction. This sum is implied without the use of any visible operator such as “+”; for example, in referring to two entire cakes and three quarters of another cake, the whole and fractional parts of the number are written next to each other: .
A mixed number can be converted to an improper fraction in three steps:
Multiply the whole part by the denominator of the fractional part.
Add the numerator of the fractional part to that product.
The resulting sum is the numerator of the new (improper) fraction, with the ‘new’ denominator remaining precisely the same as for the original fractional part of the mixed number.
Similarly, an improper fraction can be converted to a mixed number:
Divide the numerator by the denominator.
The quotient (without remainder) becomes the whole part and the remainder becomes the numerator of the fractional part.
The new denominator is the same as that of the original improper fraction.
5. Equivalent Fractions :
Multiplying the numerator and denominator of a fraction by the same (non-zero) number, the results of the new fraction is said to beequivalent to the original fraction. The word equivalent means that the two fractions have the same value. That is, they retain the same integrity – the same balance or proportion.
For example: , , and are all equivalent fractions.
6. Complex Fractions :
A complex fraction (or compound fraction) is a fraction in which the numerator or denominator contains a fraction. For example, and are complex fractions.
7. Recipocals and the “Invisible Denominator :
The reciprocal of a fraction is another fraction with the numerator and denominator reversed. The reciprocal of 8/9, for instance, is 9/8.
Because any number divided by 1 results in the same number, it is possible to write any whole number as a fraction by using 1 as the denominator: 11 = 11/1 (1 is sometimes referred to as the “invisible denominator”). Therefore, except for zero, every fraction or whole number has a reciprocal. The reciprocal of 11 would be 1/11.
Kama Sutra: A Tale of Love First Look Teaser || Mira Nair || Indira Varma
Watch Kama Sutra: A Tale of Love First Look Teaser || Indira Varma || Naveen Andrews
Kama Sutra: A Tale of Love is an Indian film directed by Mira Nair. The film takes its title from the ancient Indian text, the Kama Sutra, but this only serves as a common link between the characters.
Cast & Crew :
Directed by Mira Nair
Produced by Caroline Baron, Lydia Dean Pilcher, Mira Nair
Written by Helena Kriel, Mira Nair
Starring Rekha, Indira Varma, Naveen Andrews, Maricel Aquino, Sarita Choudhary, Arundathi Nag
Cinematography by Declan Quinn
Edited by Kristina Boden
Distributed by Trimark Pictures
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