How do you evaluate #\frac { 4} { 10} + \frac { 3} { 4} #?

1 Answer
Ben
Mar 9, 2018

Raise both fractions to their lowest common denominator (LCD) and then add together. You should arrive at #23/20#

Explanation:

First, we must figure out the lowest common denominator (LCD)between the two fractions. This happens to be 20, since it is a multiple of both 10 and 4.

This means that we need to multiply the top and bottom of each fraction by the multiple required to get 20 in the denominator. For the first fraction, we would need to multiply the top and bottom by 2. For the second, we multiply the top and bottom by 5, like so:

#(2/2*4/10) + (5/5*3/4) = 8/20+15/20#

Now, since both are raised to their LCD, we can simply add the numerators together:

#8/20+15/20=(8+15)/20=color(red)(23/20)#

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