Help Fractions Prime Numbers

Definition for 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 were the common or "vulgar" fractions which are still used today (½, ⅝, ¾, etc.) and which consist of a numerator and a denominator.

Source:-Wikipedia

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Factions Problems on addition and subtraction:

Help problem1.

Add the two prime Numbers fractions `3/7` and `11/13`

Solution:

The given two fractions `3/7` and `11/13`

Step1:            The given Two prime numbers fractions

=`3/7` +`11/13`

Step2:          Now we need to find the sum of `3/7` and `11/13`

=` (3*13 +7*11)/(7*13)`

Step3:            There the denominator is same so add the Prime numbers in the fractions together

=`(39+77)/91`

Step4:            The sum of 39 and 77 is 116

=`116/91`

Help problem 2.

Add the two prime numbers fractions `29/13` and `31/13`

Solution:

The given two fractions `29/13` and` 31/13`

Step1:                    The given Two prime numbers fractions

=`29/13` +`31/13`

Step2:                   Now we need to find the sum of `29/13` and `31/13`

=`(29+31)/13`

Step3:                   The sum of 29 and 31 is 60

=`60/13`

Help problem 3:

Subtract the prime numbers of two fractions `19/11` and `17/11`

Solution:

The two given prime numbers fractions are `19/11` and `17/11`

Step1:                  The given Two prime numbers fractions

`19/11` -`17/11`

Step2:                  Now we need to find the differences of `19/11` and `17/11`

=` (19-17)/11`

Step3:                    The difference of 19 and 17 is 2

= `2/11`

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Faction problems for multiplication equivalent :

Help problem 1.

Multiply the prime number fraction `7/23` and `3/5`

Solution:-

Given we need to multiply prime numbers fractions `7/23` and `3/5`

Fractions   to multiplied using the formula `(a*c)/(b*d).`

Here a = 7, b = 23, c= 3, d= 5.

= `(a*c)/(b*d)`

=`(7*3)/(23*5)` by solving it we get

=`21/115`

Help problem 2.

Multiply the prime numbers fractions `43/11` and `37/5`

Solution:-

Given we need to multiply the prime numbers fractions`43/11` and `37/5`

Fractions  to multiplied using the formula `(a*c)/(b*d)` .

Here a =43, b = 11, c= 37, d= 5.

= `(a*c)/(b*d)`

=`(43*37)/(11*5) ` by solving it we get

=`1591/55`

Help problem 3:

Find equivalent fraction for the prime number fraction `23/7`

Solution:

Equivalent fraction has to multiply numerator and denominator by same number

Denominator is 7 and the numerator is 23

Multiply the denominator and numerator by 5

=` (23*5)/(7*5)`

=`115/35`

So the equivalent fraction of the prime number is `23/5` is `115/35`