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Posted on Jan 02, 2017

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

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

A mixed number is a number composed of an integer (whole) number and a proper fraction, one that has a numerator less than the denominator. Example 2 1/3 =2+ 1/3. 2 is the integer part, and 1/3 is the proper fraction part.

Certain fractions can be simplified further because the numerator and denominator share a (common) factor. By cancelling the common factor in the numerator with the factor in the denominator,

one gets a fraction with smaller numerator and denominator.

For example the percentage you provide 0.15% can be converted to 15/10000.

Since 15 and 1000 are both multiples of 5, the number 5 is a common factor in both. 15=5*3, and 10000=5*2000

Cancel the two 5 (simplifying by 5) in numerator and denominator leaves 3/2000. Thus

0.15%= 0.15/100=0.0015=3/200

I hope that this makes sense to you.

Certain fractions can be simplified further because the numerator and denominator share a (common) factor. By cancelling the common factor in the numerator with the factor in the denominator,

one gets a fraction with smaller numerator and denominator.

For example the percentage you provide 0.15% can be converted to 15/10000.

Since 15 and 1000 are both multiples of 5, the number 5 is a common factor in both. 15=5*3, and 10000=5*2000

Cancel the two 5 (simplifying by 5) in numerator and denominator leaves 3/2000. Thus

0.15%= 0.15/100=0.0015=3/200

I hope that this makes sense to you.

Sep 04, 2014 | The Learning Company Achieve! Math &...

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

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

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)**

What you are asking for is called

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

Now consider (c+SQRT(d)). Multiply it by (c-SQRT(d))

[c+SQRT(d)]*[c-SQRT(d)]=c^2 -[SQRT(d)]^2=

You see that there is no radical.

Now take

The numerator becomes 1*(c-SQRT(d))=

Finally, the rationalized form of the expression

[

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:

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)

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

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

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

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.

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

Not all products of mixed numbers will give a simple result as this one. More likely they will not.

Dec 12, 2013 | Computers & Internet

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 .

3/24 + 6/24 + 8/24 + 4/6

This gives 21/24, which reduces to 7/8 .

Oct 25, 2012 | Office Equipment & Supplies

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

See this link

LINK

See this link

LINK

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

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.**

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]

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

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