Study of complex fraction
Introduction :
In math, complex fraction is one type of fraction. If a fraction contains another fraction in its numerator or denominator or both then it is called as complex fraction. For example, `3/(1/2)` is complex fraction where it has fraction on its denominator. A fraction with one or more rational expression in its numerator or denominator or both is also called as a complex fraction. For example, `(x/2)/5 ` is a complex fraction with rational expression. For evaluating the complex fractions, just convert the complex fractions into simple fractions. Complex fraction obeys the rules of simple fractions. With the help of online articles and textbooks, we can easily study about complex fractions. In this article, we are going to study about the complex fraction with its related problems to solve.
Explanation to complex fraction:
Study about the conversion of complex fraction into simple fraction:
Step 1:
Separate the numerator and denominator of complex fractions by using the division symbol '÷' . Let us consider complex fraction `a/((c/d))` which means "a" is divided by a fraction `c/d`
`a /((c/d))` = a ÷ `c/d`
Step 2:
Now, apply the division rule of fraction(Multiply the first fraction term by the reciprocal of second fraction term), for getting simple fraction.
a ÷ `c/d` = `a/1` ÷ `c/d`
The reciprocal of second fraction `c/d` is `d/c` . Now multiply the first fraction `a/1` by `d/c`.
`a/1` ÷ `c/d` = `a/1` x `d/c`(Fraction division rule)
= `(ad)/c`
Example:
`5/(3/2)`
Step 1:
First, write the numerator 5 and denominator `3/2` using division symbol.
5 ÷ `(3/2)` = `5/1 ` ÷ `3/2`
Step 3:
Now, we are multiplying the first fraction `5/1` by the reciprocal of second fraction `3/2`
Reciprocal of `3/2` = `2/3`
`5/1` x `2/3` = `10/3`
Operations on complex fractions:
Study the following steps for doing problems in complex fractions.
Step 1:
We are converting the complex fraction into simple fraction.
Step 2:
We need to apply the fraction rules for further simplification.
Example:
`((5/2))/((1/3))` x `4/((2/3))`
Step 1:
Convert the complex fractions `((5/2))/((1/3))` , `4/((2/3))`into simple fractions.
First fraction: `((5/2))/((1/3))`
= `15/2`
Second fraction: `4/((2/3))`
= `12/2`
= 6
Step 2:
In this step, we are multiplying the obtained fractions from step 1.
`((5/2))/((1/3))`x `4/((2/3))` = `15/2` x 6
= `90/2`
= 30
I like to share this Complex Fraction Solver with you all through my blog.
In math, complex fraction is one type of fraction. If a fraction contains another fraction in its numerator or denominator or both then it is called as complex fraction. For example, `3/(1/2)` is complex fraction where it has fraction on its denominator. A fraction with one or more rational expression in its numerator or denominator or both is also called as a complex fraction. For example, `(x/2)/5 ` is a complex fraction with rational expression. For evaluating the complex fractions, just convert the complex fractions into simple fractions. Complex fraction obeys the rules of simple fractions. With the help of online articles and textbooks, we can easily study about complex fractions. In this article, we are going to study about the complex fraction with its related problems to solve.
Explanation to complex fraction:
Study about the conversion of complex fraction into simple fraction:
Step 1:
Separate the numerator and denominator of complex fractions by using the division symbol '÷' . Let us consider complex fraction `a/((c/d))` which means "a" is divided by a fraction `c/d`
`a /((c/d))` = a ÷ `c/d`
Step 2:
Now, apply the division rule of fraction(Multiply the first fraction term by the reciprocal of second fraction term), for getting simple fraction.
a ÷ `c/d` = `a/1` ÷ `c/d`
The reciprocal of second fraction `c/d` is `d/c` . Now multiply the first fraction `a/1` by `d/c`.
`a/1` ÷ `c/d` = `a/1` x `d/c`(Fraction division rule)
= `(ad)/c`
Example:
`5/(3/2)`
Step 1:
First, write the numerator 5 and denominator `3/2` using division symbol.
5 ÷ `(3/2)` = `5/1 ` ÷ `3/2`
Step 3:
Now, we are multiplying the first fraction `5/1` by the reciprocal of second fraction `3/2`
Reciprocal of `3/2` = `2/3`
`5/1` x `2/3` = `10/3`
Operations on complex fractions:
Study the following steps for doing problems in complex fractions.
Step 1:
We are converting the complex fraction into simple fraction.
Step 2:
We need to apply the fraction rules for further simplification.
Example:
`((5/2))/((1/3))` x `4/((2/3))`
Step 1:
Convert the complex fractions `((5/2))/((1/3))` , `4/((2/3))`into simple fractions.
First fraction: `((5/2))/((1/3))`
- Separate the fractions `5/2` and `1/3` using division symbol ÷.
- As the fraction division rule, multiply the first fraction term `5/2` by the reciprocal of second fraction term `1/3` (Reciprocal of `1/3` = `3/1`)
= `15/2`
Second fraction: `4/((2/3))`
- Separate the fractions 4 and `2/3` using division symbol ÷.
- As the fraction division rule, multiply the first fraction term `4/1` by the reciprocal of second fraction term `2/3` (Reciprocal of `2/3` = `3/2`)
= `12/2`
= 6
Step 2:
In this step, we are multiplying the obtained fractions from step 1.
`((5/2))/((1/3))`x `4/((2/3))` = `15/2` x 6
= `90/2`
= 30
I like to share this Complex Fraction Solver with you all through my blog.