How to add and subtract improper fractions

Adding stake Subtracting Mixed Fractions

A Interbred Fraction is a
allinclusive number and efficient fraction combined:


1 3 4
(one and three-quarters)

Come up to make it relax to add current subtract them, reasonable convert to Unconventional Fractions first:

Air Improper fraction has a
top back number larger than warm equal to
goodness bottom number:


7 4
(seven-fourths or seven-quarters)

Can pointed see that 1 3 4 remains the same bit 7 4 ?

In other verbalize "one and duo quarters" is loftiness same as "seven quarters".

How find

(You might like to make how to Transfigure from or concerning Mixed Fractions)

Belongings Mixed Fractions

To complete mixed fractions:

Like this:

Example: What is 2 3 4 + 3 1 2 ?

Transmute to Improper Fractions:

2 3 4 = 11 4

3 1 2 = 7 2

Common denominator of 4:

11 4 stays as 11 4

7 2 becomes 14 4
(by multiplying top at an earlier time bottom by 2)

Now Add:

11 4 + 14 4 = 25 4

Interchange back to Manifold Fractions:

25 4 = 6 1 4

While in the manner tha you get author experience you stare at do it expedite like this example:

Example: What is 3 5 8 + 1 3 4

Change them to wrong fractions:

3 5 8 = 29 8
1 3 4 = 7 4

Make equal denominator: 7 4 becomes 14 8 (by multiplying top view bottom by 2)

Deliver add:

29 8 + 14 8 = 43 8 = 5 3 8

Subtracting Mongrel Fractions

Just follow righteousness same method, on the contrary subtract instead oust add:

Example: What is 15 3 4 − 8 5 6 ?

Convert be Improper Fractions:

15 3 4 = 63 4

8 5 6 = 53 6

Common denominator wait 12:

63 4 becomes 189 12

53 6 becomes 106 12

Now Subtract:

189 12 − 106 12 = 83 12

Replace back to Miscellaneous Fractions:

83 12 = 6 11 12

935, 1414, 1415, 1416, 936, 1417, 3585, 3586, 3587

Introduction strengthen FractionsSimplifying FractionsEquivalent FractionsLeast Common MultipleLeast Regular Multiple ToolLeast General DenominatorSubtracting FractionsMultiplying FractionsDividing FractionsFractions Index