Monday, January 7, 2013

Fraction Converter Chart


A certain part of the whole is called as fractions. The fractions can be denoted as a/b, Where a, b are integers.By using fraction converter we can convert the fraction as decimals, equal fraction, mixed fraction and percentage. In this article we are going to see fraction to decimal chart and some problems on fraction converter chart.
Fraction Converter Chart :

The following figures shows the fraction converter chart .

The fraction to decimal chart

Fig(i) The fraction converter  chart

The fraction to decimal chart

Fig(ii) The fraction converter  chart

The fraction to decimal chart

Fig(iii) The fraction converter  chart

Let us see some problems on fraction converter chart.

I like to share this Add Fraction with you all through my article.

Problems on Fraction Converter Chart :

Problem 1:

What is `12 / 3` as a mixed fraction ?

Solution:

Given, Fraction 9/3

We need to find the mixed fractions equals to `12/3`

To find mixed fraction equals to `12/3` , divided 9 by 3.

_____

3 )   12   (  4           ------------- > Quotient

12

0                   -------------  > Remainder

The mixed fraction equals to `12/3`   = Quotient (Remainder / Divisor) = 4 `0 /3`

Verification:

We can verify the answer as shown in below,

Quotient `(Remainder) / (Divisor)`   = `(( quotient * Divisor ) + Remainder ) /(Divisor)`

`4 0 / 3` = ( ( 4 *3) + 0 ) / 3

= `12 / 3`

Problem 2:

Convert the following fraction into decimal  7634 / 2600

Solution:

Given, 7634/ 2600

We need to find the decimal expansion

_____

2600) 7634   ( 2

5200

2434

Here 2434 can't be divide by 2600.

So multiply 2434 by 10 and add one decimal place with the quotient,

_____

2600) 7634   ( 2.9

5200

24340

23400

940

My forthcoming post is on Proportion Formula and Geometric Mean Example will give you more understanding about Algebra.

Here 940 can't be divided by 2600.So multiply it by 10.We already add one decimal place. So here no need to add anything with the quotient.

_____

2600) 7634   ( 2.93

5200

24340

23400

9400

7800

1600

The approximate answer for the given problem is 2.93

Answer: 7634 / 2600 = 2.93

Problem 3:

Find the 3 equivalent fractions of `2/15` .

Solution:

Given, The fraction `2/15` .

We need to find the equivalent fraction to `2/15`

Multiply `2/15` by 2 on both numerator and denominator,

`2/15` = `( 2 * 2 ) / (15 * 2)`

= `4/ 30`

Equivalent fraction to `2/15 ` = `4 / 30` .

Multiply  2/15 by 5 on both numerator and denominator,

`2/15 ` = `( 2*5) / ( 15*5 )`

= ` 10/ 75`

Equivalent fraction to `2/15` = `4 / 30` = `10/75`

Multiply ` 2/15` by 3 on both numerator and denominator,

`2/15` = `( 2* 3 ) / (15 * 3)`

= `6/ 45`

Answer: 3 equivalent fraction of `2/ 15` is `4/ 30` , `10/ 75` , `6 /45`

Is this topic algebra questions and answers hard for you? Watch out for my coming posts.

Practice Problems on Fraction Converter Chart:

Problems :

1.Convert the following fraction into decimal   27 / 30

2.Convert the following fraction into decimal  156/243

3.Convert the following fraction into decimal  45 / 78

4.Convert the following fraction into decimal  28 / 93

Answer key:

1. 0.9

2. 0.6419

3. 0.5769

4. 0.301

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