Add fractions 

We at ask-math believe that educational material should be free for everyone. Please use the content of this website for in-depth understanding of the concepts. Additionally, we have created and posted videos on our youtube.

We also offer One to One / Group Tutoring sessions / Homework help for Mathematics from Grade 4th to 12th for algebra, geometry, trigonometry, pre-calculus, and calculus for US, UK, Europe, South east Asia and UAE students.

Affiliations with Schools & Educational institutions are also welcome.

Please reach out to us on [email protected] / Whatsapp +919998367796 / Skype id: anitagovilkar.abhijit

We will be happy to post videos as per your requirements also. Do write to us.

What is Add fractions ? : The sum and difference of like fractions is a "fraction with the same denominator and the sum and difference of the numerators as its numerator". If this resultant fraction is not in its lowest terms, reduce it to its lowest terms.

Adding fractions:




Word problems on fractions:

1)In a vegetable garden 1/6 of the area is covered with lettuce and 5/12 with tomato plants. What fraction of the area is planted with these?

Solution :

Area covered by lettuce plants = 1/6

Area covered by tomato plants = 5/12

Total area covered by these = 1/6 + 5/12

LCM =12

2/12 + 5/12

= 7/12
________________________________________________________________
2) A brick weighs 2 1/5kg . A stone is 1 1/10 kg.Find the total weight of stone and brick.
Solution :

Weight of the brick = 2 1/5 = 11/5 kg

Weight of the Stone = 1 1/10 = 11/10 kg

Weight of the stone = 11/5 + 11/10

LCM =10

= 22/10 + 11/10

= (22 + 11)/10

= 33 /10
= 3 3/10 kg
________________________________________________________________
3) Roger mixes 1/2 liter of water with 1/8 liter of orange squash. How much mixture does he get?

Solution :

Quantity of water = 1/2 l

Quantity of orange squash = 1/8 l

Total quantity of mixture = 1/2 + 1/8

LCM = 8

As these are unlike fractions so first make the denominators same for each fraction.

1/2 = (1 x 4)/(2 x 4) = 4/8

1/8 = 1/8

∴ 4/8 + 1/8 = (4 + 1)/8

= 5/8

So, the quantity of mixture is 5/8 l.
________________________________________________________________

Fraction

• Types of Fractions
• Conversion of improper to mixed fraction
• Equivalent Fractions
• Fractions in Simplest form
• Like and Unlike Fractions
• Add fractions
• Subtraction of fractions
• Multiplying Fractions
Home Page