step 1 For this exercise, we have 7 plus 11. And notice how our denominator is 24 for both of them. So

Question

$$ \frac{7}{24}+\frac{11}{24} $$

Name: Problem 76, Chapter 7: Intermediate Algebra
Uploaded: 2022-09-24T20:42:46-08:00
Channel: Victor Salazar
Description: (7)/(24)+(11)/(24)

   $$
\frac{7}{24}+\frac{11}{24}
$$

Intermediate Algebra

Lynn Marecek 2nd Edition

Chapter 7, Problem 76

Instant Answer

Solved by Expert Victor Salazar

09/24/2022

Step 1

So, we add the numerators: $$ \frac{7}{24}+\frac{11}{24} = \frac{7+11}{24} $$ Show more…

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$$ \frac{7}{24}+\frac{11}{24} $$

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Key Concepts

Common Denominator

A common denominator is a shared denominator between fractions. When fractions have a common denominator, it allows for direct addition or subtraction of the numerators. This concept is fundamental in fraction operations, as it facilitates a uniform comparison and combination of different parts of a whole.

Fraction Addition

This is an arithmetic operation where two or more fractions are combined to produce a sum. In the context of fractions with the same denominator, addition becomes straightforward because you simply add the numerators while keeping the denominator unchanged.

Simplification

After performing arithmetic operations on fractions, simplification refers to the process of reducing the resulting fraction to its simplest form. This is done by dividing both the numerator and the denominator by their greatest common divisor, ensuring the fraction is presented in its most reduced and efficient form.

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