how do I add fractions and reduce to the lowest terms?

Question

11+_3_+ 19_=
12 5 30

Answer 1

you mean 11/12 + 3/5 + 19/30 ?

first you have to make them have the same denominator (bottom number). 30 is divisible by 5 but not 12, so you have to make 19/30 = 38/60 (just multiply 19 and 30 by 2). then make everything else have denominator 60. 5*12 = 60, 3*12 = 36, so 3/5=36/60 12*5=60, 11*5=55, so 11/12 = 55/60.

so you have 38/60 + 36/60 + 55/60. so now that every fraction has the same denominator....you can just add the numerators (top numbers) and keep the denominator the same: 129/60.

now to reduce to lower terms try to divide both by 2..3...4...5 until you can't divide anymore. ok first lets try to divide 129 and 60 by 2....... we can't because 129 can't be divided by 2. so lets go to 3. 60/3 = 20, and 129/3 = 43 ! we've done it. so now we have 43/20. you cannot divide that anymore.....so that is the answer in lowest terms. if you want the answer in a mixed number first get your calculator then divide 43/20. you get 2.15. 15/100, that's 2 15/100. so 15/100 in LOWEST TERMS is 3/20. so mixed number answer is 2 + 3/20.

so you have the answer in 3 formats, pure fraction : 43/20. mixed number: 2+3/20 and decimal: 2.15

Answer 2

I do not understand the equation you typed in, but I can give you general directions on how to add fractions and reduce to lowest terms. When you add fractions that have identical denominators, just add the numerators together, and the answer should contain that number, as well as the denominator. If fractions have different denominators, find the LCD (least common denominator). This is usually found by multiplying the denominators together and then multiplying the numberators by the opposite denominators. For example if uyou were to add 2/3 and 3/4, the LCD would be 12, and your new fractions would be 8/12 and 9/12. Then, you add the fractions like normal.
To reduce fractions to lowest terms, look for the GCF (greatest common factor) of the numerator and denominator. If the GCF is greater than one, divide the numerator and denominator by that number. If the GCF is equal to one, that fraction is either: A. already in lowest terms, or B. an improper fraction. In the case of B, divide the denominator by the numerator in order to create a mixed number. For example, say you were to simplify the fraction 7/4. The GCF is one, however, since the numerator is larger than the denominator, this is an improper fraction. To create the mixed number, divide 7 by 4: you get 1.75, or 1 and remainder 3. The remainder of 3 is out of four, so your mixed number reads 1 3/4, where one is a whole number and 3/4 represents the dividing remainder. HOPE THIS HELPS!

Answer 3

First find the lowest common denominator, then add, then reduce to lowest terms. Example, 1/2 + 1/3. The easiest way to get the LCD is just multiply the two denominators. 2*3=6. In this case it is the LCD. In most cases it isn't, but you can then reduce it by checking to see what works. 1/2 =3/6 and 1/3=2/6. Add the numerators 2+3=5. The answer is 5/6. Next example 1/3 +1/8. Use 24 as the denominator. 1/3= 8/24 and 1/8 = 3/24. You get the numerator by dividing 24 by 3 and multiplying it by 8. Same technique for 1/8
The answer is 9/24. Reduce to lowest terms by first factoring 3x3/2x2x2x3. Cancel out the 3's and the answer is 3/8.

Answer 4

To add fractions, you have to change the bottom number to two of the same number.

5/10 + 2/5=
After you change the bottom number, multiply the top number
5/10 stays 5/10 but 2/5 becomes 4/10 (the bottom number needs to be a 10 so 5 times 2 is 10, then mulitply the top number by 2 because you have to do to the top the same as you do to the bottom)

Then add together 5/10 + 4/10= 9/10
So the answer would be 9/10.
Get it?

Answer 5

If you are saying
(11/12) + (3/5) + (19/30)
Find the LCD, which is 60, so multiply everything by 60
(55/60) + (36/60) + (38/30)
(55 + 36 + 38)/60
(129/60)
Reduces to
(43/20)

ANS : (43/20) or (2 and (3/20))

Answer 6

You actully do the work and not depend on us. Ask your teacher or study or sumthin.

Answer 7

get extra help from your teacher and actually do your homework yourself.