SOLUTION: adding fractions. write each result in simplest form. (9/14)+(10/21)=

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: adding fractions. write each result in simplest form. (9/14)+(10/21)=      Log On


   

Question 126122: adding fractions. write each result in simplest form.
(9/14)+(10/21)=
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Fractions Solver


9%2F14%2B10%2F21 Start with the given expression




In order to add these two fractions, these fractions need to have a common denominator.


In order to do that, we simply find that the LCM of 14 and 21 is 42 (note: if you need help with finding the LCM, check out this solver)


Now we need to get each denominator to 42



%283%2F3%29%289%2F14%29%2B10%2F21 Multiply 9%2F14 by %283%2F3%29


27%2F42%2B10%2F21 Multiply 9%2F14 and %283%2F3%29 to get 27%2F42



27%2F42%2B%282%2F2%29%2810%2F21%29 Multiply 10%2F21 by %282%2F2%29


27%2F42%2B20%2F42 Multiply 10%2F21 and %282%2F2%29 to get 20%2F42



Since both fractions have a common denominator of 42, we can now combine the fractions


%2827%2B20%29%2F42 Combine the fractions


47%2F42 Add the numerators



So

9%2F14%2B10%2F21=47%2F42