###### Asked in Math and Arithmetic

Math and Arithmetic

# Adding three fractions with different denominator?

## Answer

###### Wiki User

###### July 14, 2011 5:24PM

2/3+1/6+3/4=

## Related Questions

###### Asked in Math and Arithmetic, Algebra

### How do you find the common denominator of 3 fractions?

Pick two of the fractions and find the Least Common Multiple of
those two denominators. Then take that number, and find the Least
Common Multiple between that and the third denominator. This number
will be the Least Common Denominator between the three
fractions.
If you don't care to find the Least common denominator,
then just take the three denominators, and multiply them
together.

###### Asked in Math and Arithmetic

### What is denefintion of unlike denominator?

The denominator is the number in the lower part of the
fraction
example: 5/8
the 8 is the denominator
When adding fractions, they have to be "like" denominators.
example: 5/8 and 3/8
both fractions have 8 as a denominator
When they are "unlike" denominators, you have to convert them to
"like" denominators to add them.
example: 5/8 + 3/4
take 3/4 and multiply both the three and four by two... this
will give you a new fraction of 6/8... now you can add these
fractions
5/8 + 6/8 = 11/8
If your new to math. Multiplying both the numerator and
denominator by any number is perfectly fine... as long as its the
same number.

###### Asked in Ford F-150, Math and Arithmetic, Math History

### What is 1 over 3 3 over 4 3 over 5?

Want to be sure I understand~you are adding the 3 fractions?
1/3 + 3/4 + 3/5 = x
[NOTE: A bit of info when adding fractions with different
denominators (lower number)]
-Find the Least Common Denominator (LCD) of all the fractions
you are working with.
-Rename the fractions to have the LCD.
-Add the fractions to have the LCD
-Add the numerators (top number) of the fractions once the
denominators are the same
-Simplify the fraction
~Determine the Greatest Common Factor (GCF) of 3 and 4 and 5
which is 1
~Multiply the denominators and divide by the GCF
3 x 4 x 5 = 60, then 60 ÷ 1 = 60
~Rename the fractions to use the Least Common Denominator [LCD]
(remembering you multiply both the numerator and denominator by the
LCD)
1/3= 20/60, 3/4 = 45/60, 3/5 = 36/60
~Now you can add the fractions together, remembering that when
adding fractions they have to have same common denominator which
you are getting with the above actions, only adding the numerators
together.
~Result of your math problem
20/60 + 45/60 + 36/60 = 20 + 45 + 36 /60 = 101/60
(20+45+36 over {fraction line showing numerators adding together
with 60 the denominator under the 3 numerators added together}
under 60) = 101/60 {explained because cannot put underline properly
like it would normally look}
~Simplify the fraction. Notice the numerator is more than the
denominator.
Denominator divided into the higher numerator - how many times
does 60 go into 101 in a whole number = 1 with 41 left over or 1
remainder 41
101/60 = 1 41/60
So the three fractions added together equals 1 41/60 (41/60
cannot be reduced or simplified)

###### Asked in Math and Arithmetic

### How do you add 3 fractions with different denomenators?

You can add three fractions with different denominators the same
way you add two fractions with different denominators. The only
difference is that your LCD (Lowest Common Denominator) must be the
same for all three fractions
1/3 + 4/5 + 9/15 all have a lowest common denominator of
15
3, 6, 9, 12, 15
5, 10, 15
15
Now simply convert all your fractions to the appropriate
denominator.
1/3 + 4/5 + 9/15 = 5/15 + 12/15 + 9/15
Then add like normal
5/15 + 12/15 + 9/15 = 26/15
and lastly reduce or simplify if necessary
26/15 = 1 11/15

###### Asked in Algebra

### What are three rules you can use to compare fractions?

Rule #1
When two fractions have the same denominator, the bigger
fraction is the one with the bigger numerator.
Rule # 2
When comparing fractions that have the same numerator, the
bigger fraction is the one with the smaller denominator.
Rule # 3
You can convert the fractions and then just put the greater
than, less than or equal to sign to see what the comparison is
between the fractions.