Introduction of 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 (½, ?, ¾, etc.) source wikipedia
Problems for Dividing Rational Fractions
Problem 1
For dividing the rational fractions, you will use the same method as you used for dividing the numerical fractions: when dividing by the fraction, we can to flip-n-multiply.:
Perform to the indicated operation:
`(4/3) / (9/6)`
To simplify in this division, we will convert it to multiplication by flipping what we dividing by; that is, we will switch from dividing by the fraction to multiplying by that fraction's reciprocal. Then we will simplify as usual:
`(4/3) / (9/6)`
To reciprocal the second term
`9/6` = `6/9`
= `(4/3) * (6/9)`
We get
= `24/27`
To simplified as the rational fraction
`8/9`
Problem 2
Dividing rational fractions
`(2x) / (x^2)`
To simplify as a numerical fraction, we would cancel off any common numerical factors. For this rational expression of this polynomial fraction, we can similarly cancel off any common numerical or variable factors.
The numerator of the factors are (2)(x); the denominator factors are (x)(x). Anything divided by it self is one, so we can cross out the any factors common to both the numerator and the denominator. Considering the factors are its particular fraction,
We get:
`(2x) / ((x^2))` = `(2*x) / ((x)(x))`
=`(x/x)(2/x)`
= 1`(2/x)`
= `2 / x`
Between, if you have problem on these topics find the prime factorization of 100, please browse expert math related websites for more help on substitution method for solving equations.
Another Problem for Dividing Rational Fractions
Problem 3
For dividing the rational fractions, you will use the same method as you used for dividing the numerical fractions: when dividing by the fraction, we can to flip-n-multiply.:
Perform to the indicated operation:
`(4/5) / (9/6)`
To simplify in this division, we will convert it to multiplication by flipping what we dividing by; that is, we will switch from dividing by the fraction to multiplying by that fraction's reciprocal. Then we will simplify as usual:
`(4/5) / (9/6)`
To reciprocal the second term
`9/6` = `6/9`
= `(4/5) * (6/9)`
We get
= `24/45`
To simplified as the fraction
`8/15`
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 (½, ?, ¾, etc.) source wikipedia
Problems for Dividing Rational Fractions
Problem 1
For dividing the rational fractions, you will use the same method as you used for dividing the numerical fractions: when dividing by the fraction, we can to flip-n-multiply.:
Perform to the indicated operation:
`(4/3) / (9/6)`
To simplify in this division, we will convert it to multiplication by flipping what we dividing by; that is, we will switch from dividing by the fraction to multiplying by that fraction's reciprocal. Then we will simplify as usual:
`(4/3) / (9/6)`
To reciprocal the second term
`9/6` = `6/9`
= `(4/3) * (6/9)`
We get
= `24/27`
To simplified as the rational fraction
`8/9`
Problem 2
Dividing rational fractions
`(2x) / (x^2)`
To simplify as a numerical fraction, we would cancel off any common numerical factors. For this rational expression of this polynomial fraction, we can similarly cancel off any common numerical or variable factors.
The numerator of the factors are (2)(x); the denominator factors are (x)(x). Anything divided by it self is one, so we can cross out the any factors common to both the numerator and the denominator. Considering the factors are its particular fraction,
We get:
`(2x) / ((x^2))` = `(2*x) / ((x)(x))`
=`(x/x)(2/x)`
= 1`(2/x)`
= `2 / x`
Between, if you have problem on these topics find the prime factorization of 100, please browse expert math related websites for more help on substitution method for solving equations.
Another Problem for Dividing Rational Fractions
Problem 3
For dividing the rational fractions, you will use the same method as you used for dividing the numerical fractions: when dividing by the fraction, we can to flip-n-multiply.:
Perform to the indicated operation:
`(4/5) / (9/6)`
To simplify in this division, we will convert it to multiplication by flipping what we dividing by; that is, we will switch from dividing by the fraction to multiplying by that fraction's reciprocal. Then we will simplify as usual:
`(4/5) / (9/6)`
To reciprocal the second term
`9/6` = `6/9`
= `(4/5) * (6/9)`
We get
= `24/45`
To simplified as the fraction
`8/15`
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