Everyday mathematics fraction
Introduction :
These articles we are discuss about solving the everyday mathematics fraction. A fraction 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 `(1/2` , `5/8` , `3/4` etc.) and which consist of a numerator and a denominator. (Source – Wikipedia)
Everyday mathematics fraction solves the simple addition fraction, multiplication fraction and subtraction fraction.
Everyday mathematics fraction-Example problems:
Example 1:
Add fractions for given two fraction, `2/5` + `1/5`
Solution:
The given two fractions are `2/5` + `1/5`
The same denominators of the two fractions, so
= `2/5` + `1/5`
Add the numerators the 2 and 1 = 2+1 = 3.
The same denominator is 5.
= `3/5`
The addition fraction solution is `3/5.`
Example 2:
Subtract the fractions for given two fraction `4/6` - `3/3`
Solution:
The denominator is different so we take a (lcd) least common denominator
LCD = 6 x 3 = 18
So multiply and divide by 3 in first term we get
`4/6 = (4 xx 3) / (6 xx 3)` = `12/18`
Multiply and divide by 6 in second terms
`3/3 = (3 xx 6) / (3 xx 6)` = `18/18`
The denominators are equals. So subtracting the numerator directly
= `(12-18)/18`
= `-6/18`
Therefore the final answer is `-1/3`
Example 3:
Multiply the fractions for given two fraction, `4/5` x `5/6`
Solution:
The given two fractions are `4/5` x `5/6`
The same denominators of the two fractions, so
= `4/5 ` x `5/6`
Multiply the numerators the 4 and 5 = 4 x 5 = 20.
Multiply the denominators the 5 and 6 = 5 x 6= 30
= `20/30`
The multiply fraction solution is `2/3`
Example 4:
Dividing fraction: `5/4` divides `2/4`
Solution:
First we have to take the reciprocal of the second number
Reciprocal of `2/4` = `4/2`
Now we multiply with first term we get
`5/4` x `4/2`
Multiply the numerator and denominator
`(5 xx 4) / (4 xx 2)`
Simplify the above equation we get
=` 20/8`
Therefore the final answer is `5/2`
Everyday mathematics fraction-practice problems:
Problem 1: Add the two fraction `2/9` +`1/9`
Solution: `1/3`
Problem 2: Subtract two fractions` 10/9` – `6/9`
Solution: `4/9`
Problem 3: multiply two fractions `6/5` x `2/5`
Solution: `12/25`
Problem 4: Dividing two fractions `4/6` and `2/4`
Solution: `4/3`
These articles we are discuss about solving the everyday mathematics fraction. A fraction 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 `(1/2` , `5/8` , `3/4` etc.) and which consist of a numerator and a denominator. (Source – Wikipedia)
Everyday mathematics fraction solves the simple addition fraction, multiplication fraction and subtraction fraction.
Everyday mathematics fraction-Example problems:
Example 1:
Add fractions for given two fraction, `2/5` + `1/5`
Solution:
The given two fractions are `2/5` + `1/5`
The same denominators of the two fractions, so
= `2/5` + `1/5`
Add the numerators the 2 and 1 = 2+1 = 3.
The same denominator is 5.
= `3/5`
The addition fraction solution is `3/5.`
Example 2:
Subtract the fractions for given two fraction `4/6` - `3/3`
Solution:
The denominator is different so we take a (lcd) least common denominator
LCD = 6 x 3 = 18
So multiply and divide by 3 in first term we get
`4/6 = (4 xx 3) / (6 xx 3)` = `12/18`
Multiply and divide by 6 in second terms
`3/3 = (3 xx 6) / (3 xx 6)` = `18/18`
The denominators are equals. So subtracting the numerator directly
= `(12-18)/18`
= `-6/18`
Therefore the final answer is `-1/3`
Example 3:
Multiply the fractions for given two fraction, `4/5` x `5/6`
Solution:
The given two fractions are `4/5` x `5/6`
The same denominators of the two fractions, so
= `4/5 ` x `5/6`
Multiply the numerators the 4 and 5 = 4 x 5 = 20.
Multiply the denominators the 5 and 6 = 5 x 6= 30
= `20/30`
The multiply fraction solution is `2/3`
Example 4:
Dividing fraction: `5/4` divides `2/4`
Solution:
First we have to take the reciprocal of the second number
Reciprocal of `2/4` = `4/2`
Now we multiply with first term we get
`5/4` x `4/2`
Multiply the numerator and denominator
`(5 xx 4) / (4 xx 2)`
Simplify the above equation we get
=` 20/8`
Therefore the final answer is `5/2`
Everyday mathematics fraction-practice problems:
Problem 1: Add the two fraction `2/9` +`1/9`
Solution: `1/3`
Problem 2: Subtract two fractions` 10/9` – `6/9`
Solution: `4/9`
Problem 3: multiply two fractions `6/5` x `2/5`
Solution: `12/25`
Problem 4: Dividing two fractions `4/6` and `2/4`
Solution: `4/3`