Pattern Block Fractions

Introduction :

Fraction is one of a part in math numerical values. A fraction number is an integer value. Fraction number is a one branch of the whole number value in decimals.  A Fraction number is consisting of a two parts. That is numerator value and denominator value. In online few websites are providing fraction pattern tutoring. In this article we shall discuss the pattern block fractions. I like to share this Types of Fractions with you all through my article.

Types of Pattern Block Fractions:

Proper Fractions:

In proper fractions having numerator value is less than the denominator value is called as proper fractions.

Example: `5/9` and `6/13`

Improper Fractions:

In improper fractions having numerator value is larger than or equal to their denominators value is called as improper fractions.

Example:  `6/5` and `9/7`

Mixed Fractions:

In mixed fraction Numbers having a two part, which is a whole number part and a fractional part is called as mixed numbers.

Example: `3(2/5)` and `4(1/3)`

Decimal Fractions:

In decimal fraction number having denominator value as 10, 100 or 1000 or any other higher power of 10 is called as decimal fractions.

Example: `7/10` and `65/100`

Simple Fractions:

In simple fraction number having both the numerator and denominator as whole numbers are called simple fractions.
Example: `4/5` , `12/95` .

Sample Problem for Pattern Block Fractions:

Pattern block fraction problem 1:

Evaluate the value of given fraction numbers `(7)/(9)` + `(5)/(9)`

Solution:

In the proper fraction number a denominator values are same. So we are directly add or subtract the numerator values.

Step 1: In the given problem denominator values are same.

Step 2: Add the numerator values of given numbers, we get.

`(7)/(9)` + `(5)/(9)` = `(7 + 5)/(9)`

=`(12)/(9)`

Step 3: Now we are simplify the fraction values.

= `(4)/(3)`

Pattern block fraction problem 2:

Evaluate the value of given fraction numbers`(9)/(11)` + `(8)/(11)`

Solution:

In the proper fraction number a denominator values are same. So we are directly add or subtract the numerator value.

Step 1: In the given problem denominator values are same.

Step 2: Add the numerator values of the given numbers, we get.

`(9)/(11)` + `(8)/(11)` = `(9+8)/(11)`

=  `(17)/(11)`

Add Improper Fractions

Introduction about fraction:
If two real numbers are in a / b form, then it said to be a fraction notation,

Here,   a (numerator)/ b (denominator) --- > both ‘a’ and ‘b’ not equal to zero.

Types of fraction:

1. Proper Fraction.

2. Improper Fraction.

3. Mixed Fraction.

Proper Fraction:

In fraction the numerator is lesser than the denominator means, such a fraction is called proper fraction.    

Example:

1/3, 2/5, 5/9.

Improper Fraction:

In fraction the numerator is greater than the denominator means, such a fraction is called improper fraction

Example:

5/3, 7/2, 9/5.

Mixed Fraction:

Mixed Fraction is the mixture of whole number and proper fraction.

Example 2 3/5, 1 ¾

Rules for Adding Improper Fraction:
Step 1: Initial step is the check whether the denominator is same or different.

Step 2: If the denominators are same add the numerators

Step 3: If the denominators are different then we have to make the common denominator by taking the Least common denominator

Step 4: Convert the denominator as a least common denominator

Step 5: Finally add the numerators

Note: When we add two improper fractions the result is also an improper fraction

Problems on add improper fraction

7/5+11/7                

Solution:

Step 1: Here the denominators are different

Step 2: Take the LCD for 5,7

LCD of 5,7 = 35

Step 3: To make the common denominator as 35

Multiply and divide by 7 for the first term and 5 for the second term

7/5*7/7 + 11/7 * 5/5

49/35+55/35

Step 4: Add the numerator,

49+55/35 = 104/35

Hence the answer for 7/5+11/7 =104/35

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Problems on Add Improper Fraction

9/7+14/11

Solution:

Step 1: Here the denominators are different

Step 2: Take the LCD for 7,11

LCD of 7,11=77

Step 3: To make the common denominator as 77

Multiply and divide by 11 for the first term and 7 for the second term

9/7*11/11 + 14/11 * 7/7

99/77+98/77

Step 4: Add the numerator,

98+99/77 = 197/77

Hence the answer for 9/7+14/11 =197/77

Problems on add improper fraction


6/5+12/10

Solution:

Step 1: Here the denominators are different

Step 2: Take the LCD for 5,10

LCD of 5,10 = 10

Step 3: To make the common denominator as 10

Multiply and divide by 1 for the first term

6/5*2/2 + 12/10

12/10+12/10

Step 4: Add the numerator,

12+12/10 = 24/10

Hence the answer for 6/5+12/10 =24/10