# Add fractions

**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

• Add fractions

• Subtraction of fractions

• Multiplying Fractions

• 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