Simple Fractions Help

Introduction to 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, ?, ¾, etc.) and which consist of a numerator and a denominator. (Source:Wikipedia)

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Fractions Problems on addition and subtraction:


Simple  help problem1:

Add the two factions `250/7` and `290/7`

Solution for fractions:

The given two fractions `250/7` and `290/7`

=`250/7` +`290/7`

=`(250+290)/7`

=`540/7`

This can be simplified has

=77.14

Simplehelp problem 2:

Add the two factions `350/8` and `300/8`

Solution for fractions:

The given two fractions `350/8` and `300/8`

=`350/8` +`300/8`

=`(350+300)/8`

=`650/8`

This can be simplified has

=`81.25`

Simplehelp problem 3:

Subtract  faction `70/50` and `20/50`

Solution for fractions:

The two given fractions are `70/50` and `20/50`

= `70/50` -`20/50`

=`(70-20)/50`

=`50/50`

This can be reduced further as 1


Fraction problems for multiplication:


Simplehelp problem 1:

Multiply the factions `300/8` and `270/8` and reducing  the final answer if possible

Solution for fractions:-

Given we need to multiply this  fractions`300/8` and`270/8`

Fractions can  multiplied using this  formula `(a*c)/(b*d)` .

Here a = 300, b = 8, c= 270, d= 8.

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

=`(300*270)/(8*8)` by solving it we get

=`81000/64`

It can be reduced further as

= 1265.625

Simplehelp problem 2:

Multiply the fractions 80/6 and 40/6 and reducing the final answer if possible

Solution for fractions:-

Given we need to multiply this  fractions`80/6` and`40/6`

Fractions can  multiplied using this formula` (a*c)/(b*d).`

Here a = 80, b = 6, c= 40, d= 6.

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

=`(80*40)/(6*6)` by solving it we get

=`3200/36`

It can be reduced further as

= 88.88

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Factions problems on finding Equivalent fractions and reducing fraction:


Simplehelp problem 1:

Find equivalent fraction for `14/5`

Solution for fractions:

Equivalent fraction   to multiply numerator and denominator

Denominator is 5 and the numerator is 14

Multiply denominator and numerator by 2

= `(14*2)/(5*2)`

= `28/10`

So the equivalent fraction of `14/5` is `28/10`

Simple help problem 2:

Reduce the fraction `30/36`

Solution for fractions:

The given fraction is

= `30/36`

It can be reduced further as

36 can be written as 6 * 6 and 30 can be written as 6 *5

= `( 6*5)/(6*6)`

By crossing out 6 and 6 we get

= `5/6`