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Exercises Numbers, fractions and percents

Example 4.92 from Prealgebra, 4.6 Add and Subtract Mixed Numbers

Add and Subtract Mixed Numbers: example 4.92

Add: $2 \frac{1}{2} + 5 \frac{2}{3} .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution
Since the denominators are different, we rewrite the fractions as equivalent fractions with the LCD, $6 .$ Then we will add and simplify.

We write the answer as a mixed number because we were given mixed numbers in the problem.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Add: $1 \frac{5}{6} + 4 \frac{3}{4} .$

How did it go?

PreviousAdd and Subtract Mixed Numbers: example 4.91 Next Add and Subtract Mixed Numbers: example 4.93

From Prealgebra (1st edition) by OpenStax (Rice University), section 4.6, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.