Adding fractions with different denominators, Mathematics

Assignment Help:

Q. How to Add Fractions with Different Denominators?

Ans.

Here's the main thing to remember about adding fractions with different denominators-you can't! Fractions with different denominators cannot be added.

So what do you do? If you want to add the fractions, you have to make the denominators the same.

Fortunately, this isn't hard to do. Take this, for example:

1/2 +5/6

The denominators are different, but we'll fix that.

Step 1. Factor the denominators

777_Adding Fractions with Different Denominators.gif

Step 2. Notice what the differences are .

Step 3. Figure out what extra factors are needed to make the denominators equal. If the left-hand denominator had a factor of 3, then they would be equal.

Step 4. Put in the extra factors. (Be sure to put them both in the numerator and denominator!) Here, we'll put the extra 3 factor in the left hand fraction, both top and bottom:

798_Adding Fractions with Different Denominators1.gif

Remember, this is allowed, because multiplying the numerator and denominator of a fraction by the same number doesn't change the value of the fraction.

Step 5. Now the denominators are the same, and you can add. You can simplify the numerators, but don't simplify the denominators yet!

2229_Adding Fractions with Different Denominators2.gif

Step 6. Reduce (simplify) This is the reason you didn't simplify the denominators in the previous step: because it's nice to be able to see the factors 2 and 3. You know that 2 is also a factor of 8, so you can cancel out a 2:

634_Adding Fractions with Different Denominators3.gif

And that's all!


Related Discussions:- Adding fractions with different denominators

integration: if f(x)+f(x+1/2) =1 find limit 0 to 2, f(x)+f(x+1/2) =1 f(x...

f(x)+f(x+1/2) =1 f(x)=1-f(x+1/2) 0∫2f(x)dx=0∫21-f(x+1/2)dx 0∫2f(x)dx=2-0∫2f(x+1/2)dx take (x+1/2)=v dx=dv 0∫2f(v)dv=2-0∫2f(v)dv 2(0∫2f(v)dv)=2 0∫2f(v)dv=1 0∫2f(x)dx=1

Unbounded intervals, Intervals which extend indefinitely in both the ...

Intervals which extend indefinitely in both the directions are known as unbounded intervals. These are written with the aid of symbols +∞  and -  ∞  . The various types

Algorithm, what does algorithm refer to

what does algorithm refer to

DIFFERENTIAL EQUATIONS, WHICH LIFE PROBLEMS CAN BE SOLVED USING THE KNOWLED...

WHICH LIFE PROBLEMS CAN BE SOLVED USING THE KNOWLEDGE OF DIFFERNTIAL EQUATIONS?

Do yall, do yall help kids in 6th grade

do yall help kids in 6th grade

Write down the equation of the line, Write down the equation of the line wh...

Write down the equation of the line which passes through the points (2, -1, 3) and (1, 4, -3).  Write all three forms of the equation of the line. Solution To do the above

Calculus, I need help with my calculus

I need help with my calculus

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd