## How do u Evaluate Fractions

Fraction is described to as a proportion of numerator and denominator. It can be signified as “u/v " where 'u' indicates the value named numerator and 'v' indicates the value named

Thus fraction can estimate as follows,

Numerator/Denominator

I have recently faced lot of problem while learning

The various types of fraction are explained briefly as follows.

Proper fraction is a fraction, which has a numerator as slighter match up to its denominator. Consequently, that the fraction value is less than one.

2/5, 2/10, 84/90

Improper fraction is a fraction, where the value of the numerator is bigger than value of its denominator. Mutually the value of the numerator and the denominator may be equal. Thus the value of that improper fraction is superior than or same to one.

5/3, 7 /7, 23/22, 144/25

If a fraction of top number and bottom number contains another fraction, then it is named complex fraction.

Otherwise, the complex fraction is referred as rational expression for the reason that the overall fraction comprises as a minimum one fraction.

(2/6)/7, 3/ (7/3), w/ (2x/5)

If a fraction contains whole number and proper fraction, then it is known as mixed fraction.

3 ½, 1 ¼, 2 ¾

Math is widely used in day to day activities watch out for my forthcoming posts on

(3/2) / (1/3)

Step1: Alter the second fraction inverted that is the reciprocal of itself:

1 /3 = 3 /1

Step2: Then product the first fraction with that reciprocal.

(3 /2) * (3 /1) = ((3 *3) / (2 *1)) = 9 /2

Step3: There is no need of reduction. So

9 /2 = 9 /2

8 / 9 * 9 / 4

Step1: Multiply the both numerators:

8 /9 * 9 /4 = 8 *9 /

= 72 /

Step2: Then multiply the both denominators.

= (72) / (9 * 4)

= 72 /36

Step3: Simplify the end of fraction.

72 / 36 = 2

2 / 5 – 1 / 4

Step1: The both denominators are not same. So take LCD by cross-multiplying as follows.

2/5 – 1/4 = (8-5)/20

Step2: Then, subtract the numerator

2/5 – 1/4 = 3/20

Step3: The final fraction is in simplified form. So no need to simplification

= 3/20

3 /(a+1) + 2 /a

Step1 The top numbers of the both fraction are not same. Therefore take LCD as follows

3 / (a+1) + 2 /a = (3a + 2(a+1)) / (a+1) a

Step2 Add the numerators and place the result on the same denominator

(3a + 2(a+1)) / (a +1) a = (5a +2) / (a+1) a

Step3 Finally simplify the fraction

There is no requiring of diminution. So the solution is (5a+2) /(a+1) a

((1/2)-(1/3))/ (1/6)

Solution:

Step1: Subtracting the numerator

We get,

= (1/2) – (1/3)

From LCD 6 we can rewrite as,

= (3/6) - (2/6)

= 1/6

there is no operation in denominator.

So substitute the above value back into complex fraction.

= (1/6)/ (1/6)

Step2: Multiply the numerator by reciprocal of denominator

1/6 = 6/1

So = (1/6) * (6/1)

= (6/6)

Step3: Finally simplify the fraction

(6/6) = 6

So answer is 6

**denominator**and v not equal to zero.Thus fraction can estimate as follows,

Numerator/Denominator

I have recently faced lot of problem while learning

**What is a Fraction**, But thank to online resources of math which helped me to learn myself easily on net.The various types of fraction are explained briefly as follows.

**Types of fractions:****Proper fraction:**Proper fraction is a fraction, which has a numerator as slighter match up to its denominator. Consequently, that the fraction value is less than one.

**Examples:**2/5, 2/10, 84/90

**Improper fraction:**Improper fraction is a fraction, where the value of the numerator is bigger than value of its denominator. Mutually the value of the numerator and the denominator may be equal. Thus the value of that improper fraction is superior than or same to one.

**Examples:**5/3, 7 /7, 23/22, 144/25

**Complex Fractions:**If a fraction of top number and bottom number contains another fraction, then it is named complex fraction.

Otherwise, the complex fraction is referred as rational expression for the reason that the overall fraction comprises as a minimum one fraction.

**Examples:**(2/6)/7, 3/ (7/3), w/ (2x/5)

**Mixed Fraction:**If a fraction contains whole number and proper fraction, then it is known as mixed fraction.

**Examples:**3 ½, 1 ¼, 2 ¾

**Fraction example problems:**Math is widely used in day to day activities watch out for my forthcoming posts on

**Adding Fractions with Unlike Denominators**. I am sure they will be helpful.**1)**How to evaluate the following proper fraction?(3/2) / (1/3)

Step1: Alter the second fraction inverted that is the reciprocal of itself:

1 /3 = 3 /1

Step2: Then product the first fraction with that reciprocal.

(3 /2) * (3 /1) = ((3 *3) / (2 *1)) = 9 /2

Step3: There is no need of reduction. So

9 /2 = 9 /2

**2)**How to evaluate the following improper fraction?8 / 9 * 9 / 4

Step1: Multiply the both numerators:

8 /9 * 9 /4 = 8 *9 /

= 72 /

Step2: Then multiply the both denominators.

= (72) / (9 * 4)

= 72 /36

Step3: Simplify the end of fraction.

72 / 36 = 2

**3)**How to evaluate the following simple fraction?2 / 5 – 1 / 4

Step1: The both denominators are not same. So take LCD by cross-multiplying as follows.

2/5 – 1/4 = (8-5)/20

Step2: Then, subtract the numerator

2/5 – 1/4 = 3/20

Step3: The final fraction is in simplified form. So no need to simplification

= 3/20

**4)**How to evaluate the following algebraic fraction?3 /(a+1) + 2 /a

Step1 The top numbers of the both fraction are not same. Therefore take LCD as follows

3 / (a+1) + 2 /a = (3a + 2(a+1)) / (a+1) a

Step2 Add the numerators and place the result on the same denominator

(3a + 2(a+1)) / (a +1) a = (5a +2) / (a+1) a

Step3 Finally simplify the fraction

There is no requiring of diminution. So the solution is (5a+2) /(a+1) a

**5)**How to evaluate the following complex fraction?((1/2)-(1/3))/ (1/6)

Solution:

Step1: Subtracting the numerator

We get,

= (1/2) – (1/3)

From LCD 6 we can rewrite as,

= (3/6) - (2/6)

= 1/6

there is no operation in denominator.

So substitute the above value back into complex fraction.

= (1/6)/ (1/6)

Step2: Multiply the numerator by reciprocal of denominator

1/6 = 6/1

So = (1/6) * (6/1)

= (6/6)

Step3: Finally simplify the fraction

(6/6) = 6

So answer is 6