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
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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
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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.
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Fraction

Types of Fractions
Conversion of improper to mixed fraction
Equivalent Fractions
Fractions in Simplest form
Like and Unlike Fractions