How do u solve fraction
Introduction :
Fraction is nothing but part of the entire or a whole. Fraction can be given as the ratio of numerator and denominator. If the numerator of the fraction greater than the denominator then the result will be greater than one. Instead if the numerator of the fraction less than or equal to the denominator then the result will be smaller or lesser than one. And if the numerator is equal to the denominator then the result will be one.
How do you solve fraction?
Fractions can be classified into the following types,
Proper Fractions:
If the numerator is a lesser amount than the denominator then the fractions are known as proper fractions.
Examples: `1/5` , `3/4` , `2/5`
Improper Fractions:
If the numerator is larger than or equal to the denominator then the fractions are known as Improper fractions.
Examples: `5/3, 9/4, 6/6`
Mixed Fractions:
A whole number and exact fraction together are known as mixed fractions.
Examples: `1 1/3, 2 1/4, 16 2/5.`
Example problems- How do you solve fraction?
The following problems are completely about how to solve fractions.
Example 1-Addition:
Solve the following `5/3 + 8/9 + 4/18.`
Solution:
The given term is `5/3 + 8/9 + 4/18`
Take L.C.M that is Divide and multiply the first term by 6
`5/3 = 5*6/3*6.`
= `30/18.`
Divide and multiply the second term by 2.
`8/9 = 8*2/9*2`
=` 16/18.`
Don’t change the third term
Now add the terms
`30/18 + 16/18 + 4/18.`
It can be rewritten as
`30/18 + 16/18 + 4/18` = `(30+16+4)/18.`
= `50/18 ` = 2.78.
Example 2 – subtraction:
Solve the following `4/3 - 2/6.`
Solution:
The given term is `4/3 - 2/6.`
Take L.C.M that is Divide and multiply the first term by 2.
`4/3 = 4*2/(3*2)`
= `8/6.`
Keep the second term as it is.
Now subtract the terms `4/3 - 2/6`
It can be rewritten as
`8/6 -2/6 = (8-2)/6.`
= `6/6.`
= 1.
Example 3 – Multiplication:
Solve the following `(4/7)*(3/4)*(5/8).`
Solution:
In multiplication solving the fraction is very easy.
The given term is `(4/7)*(3/4)*(5/8).`
It can be rewritten as
`(4*3*5)/(7*4*8) ` = `3*5/(7*8)` (4 cancels each other).
= `15/56.`
= 0.267.
Example 4 – Division:
Solve the following `(6/7)/(5/6).`
Solution:
In division, solving fraction is very easy..
It is inverse to the multiplication
The given term is `(6/7)/(5/6).`
It can be rewritten as
`(6/7)/(5/6) = (6/7)*(6/5)`
=` 6*6/(7*5.)`
= 36/35.
= 1.028
Fraction is nothing but part of the entire or a whole. Fraction can be given as the ratio of numerator and denominator. If the numerator of the fraction greater than the denominator then the result will be greater than one. Instead if the numerator of the fraction less than or equal to the denominator then the result will be smaller or lesser than one. And if the numerator is equal to the denominator then the result will be one.
How do you solve fraction?
Fractions can be classified into the following types,
Proper Fractions:
If the numerator is a lesser amount than the denominator then the fractions are known as proper fractions.
Examples: `1/5` , `3/4` , `2/5`
Improper Fractions:
If the numerator is larger than or equal to the denominator then the fractions are known as Improper fractions.
Examples: `5/3, 9/4, 6/6`
Mixed Fractions:
A whole number and exact fraction together are known as mixed fractions.
Examples: `1 1/3, 2 1/4, 16 2/5.`
Example problems- How do you solve fraction?
The following problems are completely about how to solve fractions.
Example 1-Addition:
Solve the following `5/3 + 8/9 + 4/18.`
Solution:
The given term is `5/3 + 8/9 + 4/18`
Take L.C.M that is Divide and multiply the first term by 6
`5/3 = 5*6/3*6.`
= `30/18.`
Divide and multiply the second term by 2.
`8/9 = 8*2/9*2`
=` 16/18.`
Don’t change the third term
Now add the terms
`30/18 + 16/18 + 4/18.`
It can be rewritten as
`30/18 + 16/18 + 4/18` = `(30+16+4)/18.`
= `50/18 ` = 2.78.
Example 2 – subtraction:
Solve the following `4/3 - 2/6.`
Solution:
The given term is `4/3 - 2/6.`
Take L.C.M that is Divide and multiply the first term by 2.
`4/3 = 4*2/(3*2)`
= `8/6.`
Keep the second term as it is.
Now subtract the terms `4/3 - 2/6`
It can be rewritten as
`8/6 -2/6 = (8-2)/6.`
= `6/6.`
= 1.
Example 3 – Multiplication:
Solve the following `(4/7)*(3/4)*(5/8).`
Solution:
In multiplication solving the fraction is very easy.
The given term is `(4/7)*(3/4)*(5/8).`
It can be rewritten as
`(4*3*5)/(7*4*8) ` = `3*5/(7*8)` (4 cancels each other).
= `15/56.`
= 0.267.
Example 4 – Division:
Solve the following `(6/7)/(5/6).`
Solution:
In division, solving fraction is very easy..
It is inverse to the multiplication
The given term is `(6/7)/(5/6).`
It can be rewritten as
`(6/7)/(5/6) = (6/7)*(6/5)`
=` 6*6/(7*5.)`
= 36/35.
= 1.028