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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