My algebra solver for fractions
Introduction:
Algebra fractions :
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 was the common or "vulgar" fractions which are still used today (½, ⅝, ¾, etc.) and which consist of a numerator and denominator.
Solver:
A solver is a generic term indicating a piece of mathematical software, possibly in the form of a stand-alone computer program or as a software library, that 'solves' a mathematical problem.(Source: Wikipedia)
Through this article we are going to learn about types of algebra fractions and solving fraction problems by using algebra solver.
Types of fractions in my algebra solver fractions :
In general, there are three types of fractions.
1. Proper fraction
2. Improper fractions
3. Mixed fraction
Proper fraction help:
A fraction is of the form a/b, where b > a
Example:
`2/3` , `56 /78` , `100 /101` ……
Improper fraction:
A fraction is of the form a/b, where a > b
Example:
`3/2` , `78/56` , `101/100` …….
Mixed fraction:
A fraction is of the form a `b/c` . Here a = Quotient.
b = Remainder
c = Divisor.
Example:
3 `4/5` , 6 `19/34` …..
Problems on my algebra solver fractions:
Problem 1:
Find 2 equivalent fractions to 3/5 by using algebra fraction solver.
Solution:
Given , fraction 3/5
We need to find the equivalent fraction to `3/5`
Multiply 3/5 by 2 on both numerator and denominator,
`3/5` = `( 3 * 2 ) / (5 * 2)`
= `6/ 10`
Equivalent fraction to `3/5 ` = `6 / 10` .
Multiply `3/5` by 5 on both numerator and denominator,
`3/5` = `( 3 * 5) / ( 5 * 5 )`
= `15/ 25`
Equivalent fraction to `3/5` = `6 /10` = `15 /25`
Answer: 2 equivalent fractions of `3 / 5` is `6/ 10` , `15 /25`
Problem 2:
How to reduce 26 as a fraction using algebra fraction solver?
Solution :
Given, Number 26.
We need to reduce it as a fraction.
Multiply and divide 26 by the same number.
So Multiply and divide 26 by 2,
26 = 26 `( 2 / 2)`
= (26 * 2) / 2
= `52 / 2`
The fraction for 26 is `52 / 2` .
Answer: Fraction for 26 is `52 / 2` .
Problem 3:
Divide the fractions `14/18` ÷ `7/9`
Solution:
Given, `14/18` ÷ `7/9`
`14/18` -> Dividend
`7/9` -> Divisor
Take a reciprocal of the divisor,
Reciprocal of `7/9` = `9/7`
Multiply the reciprocal of divisor by the dividend.
`14/18` * `9/7` = (14 * 9) / ( 18 * 7)
= `126 / 126`
= 1
Answer: `14/18` ÷ `7/9` = 1
Algebra fractions :
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 was the common or "vulgar" fractions which are still used today (½, ⅝, ¾, etc.) and which consist of a numerator and denominator.
Solver:
A solver is a generic term indicating a piece of mathematical software, possibly in the form of a stand-alone computer program or as a software library, that 'solves' a mathematical problem.(Source: Wikipedia)
Through this article we are going to learn about types of algebra fractions and solving fraction problems by using algebra solver.
Types of fractions in my algebra solver fractions :
In general, there are three types of fractions.
1. Proper fraction
2. Improper fractions
3. Mixed fraction
Proper fraction help:
A fraction is of the form a/b, where b > a
Example:
`2/3` , `56 /78` , `100 /101` ……
Improper fraction:
A fraction is of the form a/b, where a > b
Example:
`3/2` , `78/56` , `101/100` …….
Mixed fraction:
A fraction is of the form a `b/c` . Here a = Quotient.
b = Remainder
c = Divisor.
Example:
3 `4/5` , 6 `19/34` …..
Problems on my algebra solver fractions:
Problem 1:
Find 2 equivalent fractions to 3/5 by using algebra fraction solver.
Solution:
Given , fraction 3/5
We need to find the equivalent fraction to `3/5`
Multiply 3/5 by 2 on both numerator and denominator,
`3/5` = `( 3 * 2 ) / (5 * 2)`
= `6/ 10`
Equivalent fraction to `3/5 ` = `6 / 10` .
Multiply `3/5` by 5 on both numerator and denominator,
`3/5` = `( 3 * 5) / ( 5 * 5 )`
= `15/ 25`
Equivalent fraction to `3/5` = `6 /10` = `15 /25`
Answer: 2 equivalent fractions of `3 / 5` is `6/ 10` , `15 /25`
Problem 2:
How to reduce 26 as a fraction using algebra fraction solver?
Solution :
Given, Number 26.
We need to reduce it as a fraction.
Multiply and divide 26 by the same number.
So Multiply and divide 26 by 2,
26 = 26 `( 2 / 2)`
= (26 * 2) / 2
= `52 / 2`
The fraction for 26 is `52 / 2` .
Answer: Fraction for 26 is `52 / 2` .
Problem 3:
Divide the fractions `14/18` ÷ `7/9`
Solution:
Given, `14/18` ÷ `7/9`
`14/18` -> Dividend
`7/9` -> Divisor
Take a reciprocal of the divisor,
Reciprocal of `7/9` = `9/7`
Multiply the reciprocal of divisor by the dividend.
`14/18` * `9/7` = (14 * 9) / ( 18 * 7)
= `126 / 126`
= 1
Answer: `14/18` ÷ `7/9` = 1
