Renaming Fractions
Introduction for renaming fractions:
A fraction (from the Latin fractus, broken) is a number that can represent part of a whole. The earliest fractions were reciprocals of integers: ancient symbols representing one part of two, one part of three, one part of four, and so on. A much later development were the common or "vulgar" fractions which are still used today (, ?, , etc.) and which consist of a numerator and a denominator, the numerator representing a number of equal parts and the denominator telling how many of those parts make up a whole. An example is 3/4, in which the numerator, 3, tells us that the fraction represents 3 equal parts, and the denominator, 4, tells us that 4 parts make up a whole.
Renaming Fractions:
If you subtract the mixed numbers and you need to be able to rename them. For example. 4 3/8 - 1 7/8
You cannot take 7/8 from 3/8 and there aren"t enough eighths to subtract from, we need to create more eighths. You can do this by taking 1 from the 4 and changing it to eighths.
Remember, the whole number 1 can be written as a fraction by writing any number over itself.
1 = 4/4 or 8/8 or 17/17 or 235/235
This is true because any number divided by itself is 1. The fraction bar is simply a division sign.
4 4 = 1 and 8 8 = 1 and 235 235 = 1
So, to make more eighths, take 1 from the 4 in 4 3/8 and change it to 8/8.
4 3/8 =
3 + 1 + 3/8 =
3 + 8/8 + 3/8 =
3 + 11/8
Rename 4 3/8 as 3 11/8.
Quick Tips for renamimg fractions:
There"s a short cut for renaming fractions. Just subtract 1 from the whole number. Then add the numerator and denominator and write the answer on the denominator.
7 3/5 = 6 8/5
Higher terms of Renaming fractions:
Renaming fractions to Higher Terms:
The equivalent fractions are made from the rename to Higher Terms as follows:The equivalent fraction can be written by multiplying both numerator and denominator of the original fraction with the same number. The example is given below; both the numerator and denominator are multiplied by 4. Actually, we are multiplying the fraction by 4/4, so we get as
1/3 * 4/4 = 4/12
From above example the both denominator and numerator is multiplied same number for to get equivalent fraction.
Types of fractions:
There are two kinds of fractions.
1. Adding fractions with same denominators.
2. Adding fractions with different denominator
There are the two types of adding fractions with different conditions.
A fraction (from the Latin fractus, broken) is a number that can represent part of a whole. The earliest fractions were reciprocals of integers: ancient symbols representing one part of two, one part of three, one part of four, and so on. A much later development were the common or "vulgar" fractions which are still used today (, ?, , etc.) and which consist of a numerator and a denominator, the numerator representing a number of equal parts and the denominator telling how many of those parts make up a whole. An example is 3/4, in which the numerator, 3, tells us that the fraction represents 3 equal parts, and the denominator, 4, tells us that 4 parts make up a whole.
Renaming Fractions:
If you subtract the mixed numbers and you need to be able to rename them. For example. 4 3/8 - 1 7/8
You cannot take 7/8 from 3/8 and there aren"t enough eighths to subtract from, we need to create more eighths. You can do this by taking 1 from the 4 and changing it to eighths.
Remember, the whole number 1 can be written as a fraction by writing any number over itself.
1 = 4/4 or 8/8 or 17/17 or 235/235
This is true because any number divided by itself is 1. The fraction bar is simply a division sign.
4 4 = 1 and 8 8 = 1 and 235 235 = 1
So, to make more eighths, take 1 from the 4 in 4 3/8 and change it to 8/8.
4 3/8 =
3 + 1 + 3/8 =
3 + 8/8 + 3/8 =
3 + 11/8
Rename 4 3/8 as 3 11/8.
Quick Tips for renamimg fractions:
There"s a short cut for renaming fractions. Just subtract 1 from the whole number. Then add the numerator and denominator and write the answer on the denominator.
7 3/5 = 6 8/5
Higher terms of Renaming fractions:
Renaming fractions to Higher Terms:
The equivalent fractions are made from the rename to Higher Terms as follows:The equivalent fraction can be written by multiplying both numerator and denominator of the original fraction with the same number. The example is given below; both the numerator and denominator are multiplied by 4. Actually, we are multiplying the fraction by 4/4, so we get as
1/3 * 4/4 = 4/12
From above example the both denominator and numerator is multiplied same number for to get equivalent fraction.
Types of fractions:
There are two kinds of fractions.
1. Adding fractions with same denominators.
2. Adding fractions with different denominator
There are the two types of adding fractions with different conditions.
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