How can you evaluate #24/7-21/2+11/14#?

1 Answer
Stefan V.
Jul 26, 2015

Find a common denominator for your three fractions, then add their numerators.

Explanation:

In order to be able to add and/or substract fractions, you have to have common denominators. In your case, the common denominator for these three fractions is #14#.

In order to get the first two fractions to match this denominator, you have to multiply them by #2/2# and #7/7#, respectively.

#(24/7 * 2/2) - (21/2 * 7/7) + 11/14#

This is equivalent to

#48/14 - 147/14 + 11/14#

Now simply add and subtract their numerators to get the final fraction

#(48 - 147 + 11)/14 = -88/14 = color(green)(-44/7)#

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