Add the following. 2/6 + 3/5 + 2/5 + 4/8 + 4/6 =?
Please show all the work.
Reduce the fractions, then get a common denominator and convert all to that denominator.
1/3 + 3/5 + 2/5 + 1/2 + 2/3 = ?
What number has factors of 2, 3 and 5?
Please show me the work I don't understand it.
Add this 1/3 + 3/5 + 2/5 + 1/2 + 2/3 =?
Finding common denominators:
http://www.mathsisfun.com/numbers/common-denominator.html
Is this correct 1/3 + 2/3 = 1
2/5 + 3/5 = 1
+ 1/2 Is it = 2 1/2
Right! Great!
To solve this problem, we need to find a common denominator for all the fractions involved. The common denominator is the smallest number that all the denominators can evenly divide into. In this case, the common denominator would be 120 since it is divisible by all the denominators: 6, 5, 5, 8, and 6.
Now, we need to rewrite each fraction with the common denominator of 120:
2/6 = (2/6) * (20/20) = 40/120
3/5 = (3/5) * (24/24) = 72/120
2/5 = (2/5) * (24/24) = 48/120
4/8 = (4/8) * (15/15) = 60/120
4/6 = (4/6) * (20/20) = 80/120
Now that all the fractions have the same denominator, we can add them together:
40/120 + 72/120 + 48/120 + 60/120 + 80/120
To add fractions, we add their numerators while keeping the denominator the same:
(40 + 72 + 48 + 60 + 80)/120 = 300/120
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD). In this case, 60 is the GCD of 300 and 120:
300/120 = (300/60) / (120/60) = 5/2
Therefore, the sum of the given fractions is 5/2 or 2.5.