Example

Simplifying ( rac{7}{15} + rac{5}{8}) + rac{3}{8}

Simplify the expression ( rac{7}{15} + rac{5}{8}) + rac{3}{8} by applying the associative property of addition to group the fractions with common denominators.

Since the second and third fractions share a denominator of 88, change the grouping to add them together first:

rac{7}{15} + ( rac{5}{8} + rac{3}{8})

Add the fractions inside the parentheses:

rac{7}{15} + ( rac{8}{8})

Simplify the fraction inside the parentheses to 11:

rac{7}{15} + 1

Add to form a mixed number:

1 rac{7}{15}

Convert the fraction to an improper fraction:

rac{22}{15}

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Updated 2026-04-21

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