Example of new fraction math
In this article we are discus about find the example of new fraction math solving problems. 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).
Example of new fraction math problems solve for simple addition fraction, multiplication fraction, subtraction fraction and dividing fraction.
Example of new fraction math problems:
Example 1:
Adding the mixed fractions for given two fractions, `4 7/5` + `5 8/5`
Solution:
The given two mixed fractions are `4 7/5` + `5 8/5`
We need convert to mixed fraction to improper fraction `27/5` + `33/5`
The same denominators of the two fractions, so
= `27/ 5` + `33/5`
Adding the numerators the 27 and 33 = 27 + 33 = 60.
The same denominator is 5.
= `60/5`
The addition fraction solution is 12.
Example 2:
Subtract fractions for given two fractions `4/3` - `3/5`
Solution:
The denominator is different so we take a (lcd) least common denominator
LCD = 3 x 5 = 15
So multiply and divide by 5 in first term we get
`(4 xx 5) / (3 xx 5)`
=`20/15`
Multiply and divide by 3 in second terms
= `(3 xx 3) / (5 xx 3)`
= `9/15`
The denominators are equals
So subtracting the numerator directly = `(20-9)/15`
Simplify the above equation we get = `11/15`
Therefore the final answer is `11/15`
Example 3:
Multiply the fractions for given two fractions, `4/5 ` x `4/6`
Solution:
The given two fractions are `4/5` x `4/6`
The same denominators of the two fractions, so
= `4/5` x `4/6`
Multiply the numerators the 4 and 4 = 4 x 4 = 16.
Multiply the denominators the 5 and 6 = 5 x 6= 30
= `16/30`
The multiply fraction solution is `8/15`
Example 4:
Dividing fraction:
`2/4` divides `5/4`
Solution:
First we have to take the reciprocal of the second number
Reciprocal of `5/4 ` = `4/5`
Now we multiply with first term we get
`2/4` x `4/5`
Multiply the numerator and denominator
`(2 xx 4) / (4 xx 5)`
Simplify the above equation we get
= `8/20`
Therefore the final answer is ` 2/5`
Practice for new fraction math problems:
Problem 1: Add the two fraction `2/6` + `2/6`
Solution: `2/3`
Problem 2: Subtract two fractions `8/5` – ` 6/5`
Solution: `2/5`
Problem 3: multiply two fractions `6/5` x `2/6`
Solution:` 6/15`
Problem 4: Dividing two fractions `2/3` and `3/2`
Solution:` 4/9`
Example of new fraction math problems solve for simple addition fraction, multiplication fraction, subtraction fraction and dividing fraction.
Example of new fraction math problems:
Example 1:
Adding the mixed fractions for given two fractions, `4 7/5` + `5 8/5`
Solution:
The given two mixed fractions are `4 7/5` + `5 8/5`
We need convert to mixed fraction to improper fraction `27/5` + `33/5`
The same denominators of the two fractions, so
= `27/ 5` + `33/5`
Adding the numerators the 27 and 33 = 27 + 33 = 60.
The same denominator is 5.
= `60/5`
The addition fraction solution is 12.
Example 2:
Subtract fractions for given two fractions `4/3` - `3/5`
Solution:
The denominator is different so we take a (lcd) least common denominator
LCD = 3 x 5 = 15
So multiply and divide by 5 in first term we get
`(4 xx 5) / (3 xx 5)`
=`20/15`
Multiply and divide by 3 in second terms
= `(3 xx 3) / (5 xx 3)`
= `9/15`
The denominators are equals
So subtracting the numerator directly = `(20-9)/15`
Simplify the above equation we get = `11/15`
Therefore the final answer is `11/15`
Example 3:
Multiply the fractions for given two fractions, `4/5 ` x `4/6`
Solution:
The given two fractions are `4/5` x `4/6`
The same denominators of the two fractions, so
= `4/5` x `4/6`
Multiply the numerators the 4 and 4 = 4 x 4 = 16.
Multiply the denominators the 5 and 6 = 5 x 6= 30
= `16/30`
The multiply fraction solution is `8/15`
Example 4:
Dividing fraction:
`2/4` divides `5/4`
Solution:
First we have to take the reciprocal of the second number
Reciprocal of `5/4 ` = `4/5`
Now we multiply with first term we get
`2/4` x `4/5`
Multiply the numerator and denominator
`(2 xx 4) / (4 xx 5)`
Simplify the above equation we get
= `8/20`
Therefore the final answer is ` 2/5`
Practice for new fraction math problems:
Problem 1: Add the two fraction `2/6` + `2/6`
Solution: `2/3`
Problem 2: Subtract two fractions `8/5` – ` 6/5`
Solution: `2/5`
Problem 3: multiply two fractions `6/5` x `2/6`
Solution:` 6/15`
Problem 4: Dividing two fractions `2/3` and `3/2`
Solution:` 4/9`