Adding Fractions Grade Six

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 was 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)

This article will help for grade six students. Through this article grade six students learn about adding fractions.We are going to see some solved problems on adding fractions and some practice problems on adding fractions.

Solved problems on adding fractions grade six:

Problem 1:

Add the fractions 1/8 and 1/8

Solution:

Given, 1/8 + 1/8

Here both fractions have the same common denominator.

So we Can add the numerator normally and keep the denominator as it is.

1/8 + 1/8 = (1+1)/8

= 2/8

We can also simplify it further,

(2÷2)/(8÷2) = 1/4

Answer: 1/8 + 1/8 = 1/4

Problem 2:

Adding the fractions 1/8 + 1/16

Solution:

Given, 1/8  + 1/16

Both fractions have different denominator,

So we need to find least common denominator

Multiple of 8 = 8, 16, 24 ,32...

Multiple of 16 = 16 , 32 ....

Least common multiple = 16.

So to make a common denominator, multiply 1/8 by 2 on both  numerator and denominator,

(1 * 2) / (8 * 2) = 2/16

Now we can subtract,

1/8 + 1/16 = 2/16 + 1/16

= (2 + 1) / 16

= 3/ 16

Answer: 1/8 + 1/16 =3/16

Problem 3:

Adding the fraction 12 / 32 + 6 / 18

Solution:

Given , 12 / 32 + 6 / 18

Both fractions have different denominator,

So we need to find least common denominator

Multiple of  32 = 32, 64, 96, 128, 160, 192, 224 32, 64, 96, 128, 160, 192, 224, 256, 288, 320.........

Multiple of  18 = 18 36 54 72 90 108 126 144 162 180 198 216 234 252 270 288 306 324........

The least common multiple of 32 and 18 is 288.

So we need to make the denominator as 288.

(12 * 9) / ( 32 * 9 ) = 108 / 288

( 6 * 16) / ( 18 * 16) = 96 / 288

12 / 32  + 6 / 18 = 108 / 288 + 96 / 288

= ( 108 + 96) / 288

= 204 / 288

= 51 / 72

Practice problems on adding fractions grade six :

Problems:

1. Adding the fractions  6/7 + 15 /7

2. Adding the fractions 3/4 + 5/6

Answer:

1.3

2.19 / 12