How do you add #\frac { 1} { 4} + \frac { 9} { 14}#?

1 Answer
Dec 7, 2016

#25/28#

Explanation:

We first must find the least common denominator which in this case is #28#.

To do this, we must multiply the following to get #28#:

  • #4*7# and #14*2#. This will give us the least common denominator.

Rule: What we do to the bottom, must be done to the top. so multiply the following to balance the equation:

  • #1*7# and #9*2#

Now we have a fraction equation such as the following:

  • #7/28+18/28 = 25/28#

  • Keeping the denominator the same, add across and simplify if necessary.

Answer - #25/28#