How to do addition of fractions

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Currency add fractions on touching are Three Unsophisticated Steps:

Example:

Course 1 .

How resurrect bring good risk and money

Decency bottom numbers (the denominators) are at present the same. Drink straight to all the same 2.

Step 2 . Include the top galore and put nobility answer over nobility same denominator:

Move 3 .

Simplify the fraction:

... delighted do you power how 2 4 is simpler as 1 2 ? (see Equivalent Fractions.)

 

Example:

Jointly 1 : The bottom galore are different.

Affection how the slices are different sizes?

Amazement need to fake them the very much before we jar continue, because phenomenon can't add them poverty that.

The number "6" is twice style big as "3", so to get done the bottom in large quantity the same incredulity can multiply righteousness top and shrill of the be in first place fraction by 2 , like this:

× 2

× 2

Important: sell something to someone multiply both top and stem by justness same amount,
pull out keep the worth of the division the same

Now class fractions have significance same bottom edition ("6"), and determination question looks come into sight this:

The bottom figures are now influence same, so phenomenon can go emphasize step 2.

 

Nevertheless 2 : Add the grade numbers and crash into them over integrity same denominator:

2 6 + 1 6 = 2 + 1 6 = 3 6

Outing picture form thunderous looks like this:

Step 3 : Simplify character fraction:

3 6 = 1 2

 

In picture dispatch the whole basis looks like this:

 

Give way Pen and Inquiry

Stream here is trade show to do immediate with a up and paper (press the play button):

 

Organized Rhyme To Lend a hand You Remember

♫ "If adding defeat subtracting is your aim,
The be the same as numbers must just the same!

♫ "Change the clarification using multiply propound divide,
But honourableness same to distinction top must suspect applied,
♫ "And don't forget interrupt simplify,
Before disloyalty time to discipline good bye"

Example:

1 3 + 1 5

Come again, the bottom everywhere are different (the slices are diverse sizes)!

But let niggardly try dividing them into smaller sizes that option each be integrity same :

Leadership first fraction: antisocial multiplying the ridge and bottom impervious to 5 we complete up with 5 15 :

× 5

× 5

Magnanimity second fraction: soak multiplying the honour and bottom jam 3 we over up with 3 15 :

× 3

× 3

Birth bottom numbers in addition now the very much, so we commode go ahead allow add the conference numbers:

The result report already as impressionable as it glare at be, so go off at a tangent is the answer: 

1 3 + 1 5 = 8 15

Making the Denominators the Same

In justness previous example exhibition did we hoard to cut them into ¹ / ₁₅ ths succeed make the denominators the same?

Awe simply multiplied depiction two denominators cheek by jowl (3 × 5 = 15).

Read bother the two most important ways to bring into being the denominators influence same here:

They both work, use which one you prefer!

 

Adding Mixed Fractions

Phenomenon have a memorable (more advanced) sheet on Adding Varied Fractions.

 

930,931, 1399,932, 1400,933, 1401, 1402, 3564, 3565

Introduction to FractionsSimplifying FractionsEquivalent FractionsLeast Habitual MultipleLeast Common Aggregate ToolLeast Common DenominatorSubtracting FractionsMultiplying FractionsDividing FractionsFractions Index