Question #fb404
2 Answers
The answer is:
Explanation:
The way to add fractions is to first get their denominators the same (by finding the LCM). So we will first check the multiples of each denominator.
As we can see,
To make each fraction get that denominator and yet retain its value, we have to multiply both numerator and denominator by the same number. A fraction with the same number in the numerator and denominator is equal to one so the multiplication will not change the value of the other fraction.
No we simply retain the same denominator and add all the numerators.
This cannot be reduced further, so the answer is:
If you want, you can also give the answer as a mixed fraction since the numerator is larger than the denominator. This is done by seeing how many times the denominator goes into the numerator (in this case, twice, as
Hence:
Explanation:
First, find the common denominator for all three fractions.
This will be the LCM of 2, 4, and 6.
#2# has only one prime factor:#2#
#4# is#2 xx 2#
#6# is#2 xx 3#
The most
Therefore, the LCM of 2, 4, and 6 is
Now multiply the tops and bottoms of all of the fractions by a certain number so that all of the bottoms are
#1/2 + 3/4 + 5/6#
#1/2 * 6/6 + 3/4 * 3/3 + 5/6 * 2/2#
#6/12 + 9/12 + 10/12#
Now combine all three fractions and simplify!
#(6+9+10)/12#
#25/12#
#2 1/12#
Either the mixed number or the improper fraction are valid answers.
Final Answer