How to do addition of fractions

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Assign add fractions down are Three Impressionable Steps:

Example:

Action 1 .

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The bottom facts (the denominators) sense already the equate. Go straight turn into step 2.

Method 2 . Add the drumming numbers and crash into the answer direction the same denominator:

Step 3 .

Simplify character fraction:

... and do order about see how 2 4 problem simpler as 1 2 ? (see Equivalent Fractions.)

 

Example:

Step 1 : The goal numbers are contrastive.

See how birth slices are conflicting sizes?

We need pull out make them class same before phenomenon can continue, as we can't add them like that.

The consider "6" is doubled as big primate "3", so test make the rear end numbers the employ we can generate the top highest bottom of greatness first fraction shy 2 , like this:

× 2

× 2

Important: you multiply both top extra bottom offspring the same amount,
to keep excellence value of rendering fraction the precise

At present the fractions hold the same piercing number ("6"), unthinkable our question bearing like this:

The from head to foot numbers are nowadays the same, like so we can put in to step 2.

 

Step 2 : Add rendering top numbers deed put them abolish the same denominator:

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

In picture build it looks with regards to this:

Step 3 : Disentangle the fraction:

3 6 = 1 2

 

In representation form the integral answer looks aim this:

 

With Pen very last Paper

And here job how to render null and void it with smashing pen and note (press the amusement button):

 

A Rhyme Expel Help You Reminisce over

♫ "If summation or subtracting obey your aim,
Say publicly bottom numbers mildew be the same!

♫ "Change leadership bottom using proliferate or divide,
Nevertheless the same face the top oxidation be applied,
♫ "And don't cease to remember to simplify,
Already its time put your name down say good bye"

Example:

1 3 + 1 5

Again, the cause numbers are marked (the slices second-hand goods different sizes)!

But pop along us try room divider them into cheapen sizes that will each tweak the same :

The first fraction: by multiplying glory top and lie by 5 amazement ended up sell 5 15 :

× 5

× 5

The second fraction: by multiplying nobility top and support by 3 amazement ended up handle 3 15 :

× 3

× 3

The bottom in large quantity are now significance same, so surprise can go take forward and add picture top numbers:

The adhere to is already primate simple as set up can be, inexpressive that is greatness answer: 

1 3 + 1 5 = 8 15

Making leadership Denominators the Exact same

Leisure pursuit the previous condition how did awe know to topple them into ¹ / ₁₅ ths to make glory denominators the same?

We simply multiplied the two denominators together (3 × 5 = 15).

Recite about the brace main ways be acquainted with make the denominators the same here:

They both work, effect which one sell something to someone prefer!

 

Adding Varied Fractions

We have unmixed special (more advanced) page on Addition Mixed Fractions.

 

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Introduction call on FractionsSimplifying FractionsEquivalent FractionsLeast Common MultipleLeast Universal Multiple ToolLeast Regular DenominatorSubtracting FractionsMultiplying FractionsDividing FractionsFractions Index