Example

Simplifying ( rac{5}{13} + rac{3}{4}) + rac{1}{4}

Simplify the expression ( rac{5}{13} + rac{3}{4}) + rac{1}{4} by using the associative property of addition to group the fractions with common denominators together.

Notice that the last two terms share the common denominator 44. Change the grouping by shifting the parentheses to associate them:

rac{5}{13} + ( rac{3}{4} + rac{1}{4})

First, add the fractions within the parentheses by combining their numerators over the common denominator:

rac{5}{13} + ( rac{4}{4})

Simplify the fraction rac{4}{4} to 11:

rac{5}{13} + 1

Add to get a mixed number:

1 rac{5}{13}

Finally, convert the mixed number to an improper fraction:

rac{18}{13}

0

1

Updated 2026-04-21

Contributors are:

Who are from:

Tags

OpenStax

Intermediate Algebra @ OpenStax

Ch.1 Foundations - Intermediate Algebra @ OpenStax

Algebra

Related