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# RENAME 1/3 AND 4/9 USING lcd AS THEIR DENOMINATOR

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The least common denominator is 9, so 1/3 and 4/9 are 3/9 and 4/9 .

Posted on Nov 26, 2012

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Posted on Jan 02, 2017

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I interpreted the question as:

(x-2)/(4-x) + 2/3 = (x-2)/12 or

(x-2) 2 (x-2)
------ + --- = -----
(4-x) 3 12

Now to find a common denominator.

I factor all the terms and see what is common, so it can be eliminated to leave the lowest common denominator.

(4 - x) - prime - cannot be factored

3 - prime - cannot be factored

12 - 4 x 3

What is common in the above? The 3, so we can eliminate one 3.

Common denominator - (4 -x) (3)(4)

So, we must multiply the numerator and denominator of the first term by 12 (3 x 4).

The next term's numerator and denominator must be multiplied by 4(4-x).

The term on the right of the equals sign must have the numerator and denominator multiplied by (4-x).

Good luck.

If you need more assistance, post again.

Paul

Apr 02, 2018 | Homework

### What is the improper fraction of 2/10

I think you want to reduce the fraction to the lowest terms.

Improper fraction 1 3/4 produces an improper fraction of 7/4 (1 times denominator plus numerator)

To reduce a fraction, we need to divide the numerator (number on top) and the denominator (number on the bottom) by the greatest common factor (GCF).

To get the GCF, find the factors of the numerators and denominators and find the greatest number that is in both lists.

The factors of 2 are 1, 2.

The factors of 10 are 1, 2, 5, 10.

The greatest (largest) number is both lists is 2, so we divide the numerator and denominator by 2 and get 1/5.

Good luck,

Paul

Feb 06, 2018 | Homework

### How can I simplify a fraction after adding two fractions?

Factor both the numerator and denominator, and then divide both the numerator and denominator by the greatest common factor.

For example, 1/3 + 1/6 = 2/6 + 1/6 = 3/6. We have to simplify 3/6. The factors of 3 are 3 and 1. The factors of 6 and 1, 2, 3, and 6. The greatest common factor is 3. Dividing the numerator and denominator by 3 results in 1/2.

Good luck.

Paul

Nov 23, 2015 | Texas Instruments TI-84 Plus Calculator

### Fractions and properties of addition

5 1/3 =16/3 because 5 x 3 + 1 = 16 then keep your denominator of 3
2 2/3 = 8/3 because 2 x 3 + 2 = 8 then keep your denominator of 3
1 1/3 = 4/3 because 1 x 3 + 1 = 4 then keep you denominator of 3
therefore
16/3 + 8/3 + 4/3 = 28/3 = 9 1/3

Mar 07, 2014 | Cars & Trucks

### How do I convert square roots (for example square root of 147) into a number like 7 over square root 3. is it possible to do that? Or can the TI-130Xa only convert perfect squares (like square root o

Unfortunately this calculator does not display results in radical form. If you enter SQRT(147) you get 12.12435565...
What you are asking for is called rationalizing an irrational expression. Usually one tries to get rid of radicals that appear in the denominators. Here is an example.
Suppose you have 1/(c+SQRT(d)), and you want to get rid of the radical in the denominator. How to do it?
Recall the identity (a-b)*(a+b)= a^2-b^2. It is true for any a and b

Rationalizing a denominator (usual case)
Now consider (c+SQRT(d)). Multiply it by (c-SQRT(d))
[c+SQRT(d)]*[c-SQRT(d)]=c^2 -[SQRT(d)]^2=c^2-d
You see that there is no radical.
Now take 1/(c+SQRT(d)). To get rid of the radical from the denominator multiply it by (c-SQRT(d)). But to leave the value of your expression 1/(c+SQRT(d)) unchanged, you must multiply both numerator and denominator by (c-SQRT(d)).
The numerator becomes 1*(c-SQRT(d))=c-SQRT(d), and the denominator (c^2-d).
Finally, the rationalized form of the expression 1/(c+SQRT(d)) is
[c-SQRT(d)]/[c^2-d].

Rationalizing a numerator
Sometimes, people have a radical in the numerator that they want to get rid of and have it in the denominator. The procedure is the same
Example:(c+SQRT(d)), the denominator here is 1
(c+SQRT(d))=(c+SQRT(d))*[c-SQRT(d)]/[c-SQRT(d)]. This gives
[c^2-d]/[c-SQRT(d)]
You have no radical in the numerator but there is one in the denominator. This is called rationalizing the numerator.
Your case is a lot simpler
SQRT(147)=7*SQRT(3)
Multiply it by SQRT(3)/SQRT(3) which is 1. This gives
SQRT(147)=7*3/SQRT(3)=21/SQRT(3)

SQRT(147)= 21/SQRT(3)

Feb 09, 2014 | Texas Instruments TI-30XA Calculator

### Find a common denominator for each pair of fractions. Then rename each fraction in the pair

12 has factors 2*2*3
8 has factors 2*2*2
So lowest common denominator is 2*2*2*3 or 24

3/12 = 6/24 and 3/8 = 9/24

Jan 16, 2014 | Mathsoft Computers & Internet

### Multiplying mixed fractions

Convert each mixed number (what you call mixed fraction) to an improper fraction, then multiply the two numerators and multiply the two denominators. Reduce the resulting fraction to its simplest form

Example
(2 1/3)*(1 5/7)=?
Convert 2 1/3 to an improper fraction 2 1/3=2+ 1/3 = 6/3+1/3=7/3
Convert 1 5/7 to an improper fraction 1 5/7=1+ 5/7 =7/7 +5/7=12/7
(2 1/3)*(1 5/7)= (7/3)*(12/7)= (7*12)/(3*7)
The 7's in the numerator and denominator cancel one another leaving
12/3=4
(2 1/3)*(1 5/7)=4
Not all products of mixed numbers will give a simple result as this one. More likely they will not.

Dec 12, 2013 | Computers & Internet

### Find lcd 1/8+1/4+1/3+1/6

The LCD of the denominators is 24, so rewrite the sum as
3/24 + 6/24 + 8/24 + 4/6
This gives 21/24, which reduces to 7/8 .

Oct 25, 2012 | Office Equipment & Supplies

### What do u mean common denominator

A quantity into which all the denominators of a set of fractions may be divided without a remainder.

Jun 28, 2010 | Mathsoft Mathcad Expert Solver Full...

### How to solve rational equations on my casio fx 115es calculator?

Hello,
You must first eliminate the denominators by reducing the different expressions to the same denominators. Use the distributivity property of multiplication to expand your terms. Gather similar monomials. Do all the cleaning to reduce your equation to one of the 2 types that the calculator can handle.[Mode][5:EQN] [3: ax2+bx+c] or [4:ax3+bx2+cx+d]

Remember :Any solution that makes one of the original denominators equal 0 must be rejected.

Hope it helps.

Jun 15, 2009 | Casio FX-115ES Scientific Calculator

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